I am not done with the "infinite horizons" series yet. So I decided to continue from tier 1,000 to 1,000,000. Again, I will continue using the Greek quantitative roots as I already made from tier 11 to 999 as well as in tier 6. Just add "chilia-" in-between for thousands in tier levels.
[1,000|1] chiliaplodicillion = H1,000#999 = H1#1,000
[1,000|1*] enneacosienneacontaenneaplodecalia-chiliaplodicillion = H10,000#999
[1,000|1*] enneacosienneacontaenneaplohecatontalia-chiliaplodicillion = H100,000#999
[1,000|2] chiliaplodualicillion = H1,000,000#999 = H2#1,000
[1,000|3] chiliaplotrialicillion = H1,000,000,000#999 = H3#1,000
[1,000|10] chiliaplodecalicillion = H10#1,000
[1,000|100] chiliaplohecatontalicillion = H100#1,000
[1,001|1] chiliahenaplodicillion = H1,000#1,000 = H1#1,001
[1,002|1] chiliadyaplodicillion = H1#1,002
[1,003|1] chiliatryaplodicillion = H1#1,003
[1,004|1] chiliatetraplodicillion = H1#1,004
[1,005|1] chiliapentaplodicillion = H1#1,005
[1,006|1] chiliahexaplodicillion = H1#1,006
[1,007|1] chiliaheptaplodicillion = H1#1,007
[1,008|1] chiliaoctaplodicillion = H1#1,008
[1,009|1] chiliaenneaplodicillion = H1#1,009
[1,010|1] chiliadecaplodicillion = H1#1,010
[1,011|1] chiliahendecaplodicillion = H1#1,011
[1,012|1] chiliadodecaplodicillion = H1#1,012
[1,015|1] chiliapentadecaplodicillion = H1#1,015
[1,020|1] chiliaicosaplodicillion = H1#1,020
[1,025|1] chiliaicosipentaplodicillion = H1#1,025
[1,030|1] chiliatriacontaplodicillion = H1#1,030
[1,040|1] chiliatessaracontaplodicillion = H1#1,040
[1,050|1] chiliapentacontaplodicillion = H1#1,050
[1,060|1] chiliahexacontaplodicillion = H1#1,060
[1,070|1] chiliaheptacontaplodicillion = H1#1,070
[1,080|1] chiliaoctacontaplodicillion = H1#1,080
[1,090|1] chiliaenneacontaplodicillion = H1#1,090
[1,100|1] chiliahecatontaplodicillion = H1#1,100
[1,110|1] chiliahecatontadecaplodicillion = H1#1,110
[1,120|1] chiliahecatontaicosaplodicillion = H1#1,120
[1,150|1] chiliahecatontapentacontaplodicillion = H1#1,150
[1,200|1] chiliadiacosaplodicillion = H1#1,200
[1,250|1] chiliadiacosipentacontaplodicillion = H1#1,250
[1,300|1] chiliatriacosaplodicillion = H1#1,300
[1,400|1] chiliatetracosaplodicillion = H1#1,400
[1,500|1] chiliapentacosaplodicillion = H1#1,500
[1,600|1] chiliahexacosaplodicillion = H1#1,600
[1,700|1] chiliaheptacosaplodicillion = H1#1,700
[1,800|1] chiliaoctacosaplodicillion = H1#1,800
[1,900|1] chiliaenneacosaplodicillion = H1#1,900
[2,000|1] dischiliaplodicillion = H1#2,000
But be careful, dischiliaplodicillion (tier 2,000) should not be confused with dyachiliaplodicillion (tier 1,000) with the tier 6 multiplicative root.
[2,001|1] dischiliahenaplodicillion = H1#2,001
[2,010|1] dischiliadecaplodicillion = H1#2,010
[2,100|1] dischiliahecatontaplodicillion = H1#2,100
[2,200|1] dischiliadiacosaplodicillion = H1#2,200
[2,300|1] dischiliatriacosaplodicillion = H1#2,300
[2,500|1] dischiliapentacosaplodicillion = H1#2,500
[3,000|1] trischiliaplodicillion = H1#3,000
[3,500|1] trischiliapentacosaplodicillion = H1#3,500
[4,000|1] tetrakischiliaplodicillion = H1#4,000
[4,500|1] tetrakischiliapentacosaplodicillion = H1#4,500
[5,000|1] pentakischiliaplodicillion = H1#5,000
[6,000|1] hexakischiliaplodicillion = H1#6,000
[7,000|1] heptakischiliaplodicillion = H1#7,000
[8,000|1] octakischiliaplodicillion = H1#8,000
[9,000|1] enneakischiliaplodicillion = H1#9,000
[10,000|1] decakischiliaplodicillion = H1#10,000
[11,000|1] hendecakischiliaplodicillion = H1#11,000
[12,000|1] dodecakischiliaplodicillion = H1#12,000
[13,000|1] triadecakischiliaplodicillion = H1#13,000
[14,000|1] tetradecakischiliaplodicillion = H1#14,000
[15,000|1] pentadecakischiliaplodicillion = H1#15,000
[16,000|1] hexadecakischiliaplodicillion = H1#16,000
[17,000|1] heptadecakischiliaplodicillion = H1#17,000
[18,000|1] octadecakischiliaplodicillion = H1#18,000
[19,000|1] enneadecakischiliaplodicillion = H1#19,000
[20,000|1] icosakischiliaplodicillion = H1#20,000
[21,000|1] icosihenakischiliaplodicillion = H1#21,000
[22,000|1] icosidyakischiliaplodicillion = H1#22,000
[23,000|1] icositryakischiliaplodicillion = H1#23,000
[24,000|1] icositetrakischiliaplodicillion = H1#24,000
[25,000|1] icosipentakischiliaplodicillion = H1#25,000
[26,000|1] icosihexakischiliaplodicillion = H1#26,000
[27,000|1] icosiheptakischiliaplodicillion = H1#27,000
[28,000|1] icosioctakischiliaplodicillion = H1#28,000
[29,000|1] icosienneakischiliaplodicillion = H1#29,000
[30,000|1] triacontakischiliaplodicillion = H1#30,000
[31,000|1] triacontahenakischiliaplodicillion = H1#31,000
[32,000|1] triacontadyakischiliaplodicillion = H1#32,000
[33,000|1] triacontatryakischiliaplodicillion = H1#33,000
[35,000|1] triacontapentakischiliaplodicillion = H1#35,000
[40,000|1] tessaracontakischiliaplodicillion = H1#40,000
[45,000|1] tessaracontapentakischiliaplodicillion = H1#45,000
[50,000|1] pentacontakischiliaplodicillion = H1#50,000
[55,000|1] pentacontapentakischiliaplodicillion = H1#55,000
[60,000|1] hexacontakischiliaplodicillion = H1#60,000
[65,000|1] hexacontapentakischiliaplodicillion = H1#65,000
[70,000|1] heptacontakischiliaplodicillion = H1#70,000
[75,000|1] heptacontapentakischiliaplodicillion = H1#75,000
[80,000|1] octacontakischiliaplodicillion = H1#80,000
[85,000|1] octacontapentakischiliaplodicillion = H1#85,000
[90,000|1] enneacontakischiliaplodicillion = H1#90,000
[95,000|1] enneacontapentakischiliaplodicillion = H1#95,000
[100,000|1] hecatontakischiliaplodicillion = H1#100,000
[101,000|1] hecatontahenakischiliaplodicillion = H1#101,000
[102,000|1] hecatontadyakischiliaplodicillion = H1#102,000
[103,000|1] hecatontatryakischiliaplodicillion = H1#103,000
[105,000|1] hecatontapentakischiliaplodicillion = H1#105,000
[110,000|1] hecatontadecakischiliaplodicillion = H1#110,000
[115,000|1] hecatontapentadecakischiliaplodicillion = H1#115,000
[120,000|1] hecatontaicosakischiliaplodicillion = H1#120,000
[125,000|1] hecatontaicosipentakischiliaplodicillion = H1#125,000
[130,000|1] hecatontatriacontakischiliaplodicillion = H1#130,000
[140,000|1] hecatontatessaracontakischiliaplodicillion = H1#140,000
[150,000|1] hecatontapentacontakischiliaplodicillion = H1#150,000
[160,000|1] hecatontahexacontakischiliaplodicillion = H1#160,000
[170,000|1] hecatontaheptacontakischiliaplodicillion = H1#170,000
[180,000|1] hecatontaoctacontakischiliaplodicillion = H1#180,000
[190,000|1] hecatontaenneacontakischiliaplodicillion = H1#190,000
[200,000|1] diacosakischiliaplodicillion = H1#200,000
[201,000|1] diacosihenakischiliaplodicillion = H1#201,000
[210,000|1] diacosidecakischiliaplodicillion = H1#210,000
[220,000|1] diacosiicosakischiliaplodicillion = H1#220,000
[230,000|1] diacositriacontakischiliaplodicillion = H1#230,000
[250,000|1] diacosipentacontakischiliaplodicillion = H1#250,000
[300,000|1] triacosakischiliaplodicillion = H1#300,000
[350,000|1] triacosipentacontakischiliaplodicillion = H1#350,000
[400,000|1] tetracosakischiliaplodicillion = H1#400,000
[450,000|1] tetracosipentacontakischiliaplodicillion = H1#450,000
[500,000|1] pentacosakischiliaplodicillion = H1#500,000
[600,000|1] hexacosakischiliaplodicillion = H1#600,000
[700,000|1] heptacosakischiliaplodicillion = H1#700,000
[800,000|1] octacosakischiliaplodicillion = H1#800,000
[900,000|1] enneacosakischiliaplodicillion = H1#900,000
[990,000|1] enneacosienneacontakischiliaplodicillion = H1#990,000
[999,000|1] enneacosienneacontaenneakischiliaplodicillion = H1#999,000
[999,900|1] enneacosienneacontaenneakischiliaenneacosaplodicillion = H1#999,900
[999,990|1] enneacosienneacontaenneakischiliaenneacosienneacontaplodicillion = H1#999,990
[999,999|1] enneacosienneacontaenneakischiliaenneacosienneacontaenneaplodicillion = H1#999,999
[999,999|999] enneacosienneacontaenneakischiliaenneacosienneacontaenneaploenneacosienneacontaennealicillion = H999#999,999
[999,999|999*] enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealia-
enneacosienneacontaenneakischiliaenneacosienneacontaenneaploenneacosienneacontaennealicillion = H(999*10^2,997)#999,998
[999,999|999*+] enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealia-
enneacosienneacontaenneakischiliaenneacosienneacontaenneaploenneacosienneacontaennealae-
enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealia-
enneacosienneacontaenneakischiliaenneacosienneacontaenneaploenneacosienneacontaoctalae-
enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealia-
enneacosienneacontaenneakischiliaenneacosienneacontaenneaploenneacosienneacontaheptalae-
...
enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealia-
enneacosienneacontaenneakischiliaenneacosienneacontaenneaplotrialae-
enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealia-
enneacosienneacontaenneakischiliaenneacosienneacontaenneaplodualae-
enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealia-
enneacosienneacontaenneakischiliaenneacosienneacontaenneaplodae-
enneacosienneacontaenneakischiliaenneacosienneacontaoctaploenneacosienneacontaennealicillion = H(10^3,000-1)#999,998
Now we reach the limit of the basic Hyper-H -illion notation level! Now we establish the abbreviation based off Antimatter Dimensions!
Lightning's out!
The main part is now over. Feel free to go somewhere, or continue further for the three-entry extended -illion level.