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1110011112120 = 233519769633091
BaseRepresentation
bin10000001001110001110…
…100010110101010111000
310221010010120201221211010
4100021301310112222320
5121141300321041440
62205533154233520
7143124052530231
oct20116164265270
93833116657733
101110011112120
11398831375779
1215b1645858a0
138089ab86561
143ba20cc0088
151dd19806580
hex10271d16ab8

1110011112120 has 128 divisors (see below), whose sum is σ = 3509862048000. Its totient is φ = 280058757120.

The previous prime is 1110011112103. The next prime is 1110011112121. The reversal of 1110011112120 is 212111100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1110011112096 and 1110011112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110011112121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436775 + ... + 2069865.

It is an arithmetic number, because the mean of its divisors is an integer number (27420797250).

Almost surely, 21110011112120 is an apocalyptic number.

1110011112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110011112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754931024000).

1110011112120 is an abundant number, since it is smaller than the sum of its proper divisors (2399850935880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1110011112120 is a wasteful number, since it uses less digits than its factorization.

1110011112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633893 (or 633889 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1110011112120 its reverse (212111100111), we get a palindrome (1322122212231).

The spelling of 1110011112120 in words is "one trillion, one hundred ten billion, eleven million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 769 1140 1538 2280 2307 3076 3845 4614 6152 7690 9228 11535 14611 15380 18456 23070 29222 30760 43833 46140 58444 73055 87666 92280 116888 146110 175332 219165 292220 350664 438330 584440 633091 876660 1266182 1753320 1899273 2532364 3165455 3798546 5064728 6330910 7597092 9496365 12028729 12661820 15194184 18992730 24057458 25323640 36086187 37985460 48114916 60143645 72172374 75970920 96229832 120287290 144344748 180430935 240574580 288689496 360861870 481149160 486846979 721723740 973693958 1443447480 1460540937 1947387916 2434234895 2921081874 3894775832 4868469790 5842163748 7302704685 9250092601 9736939580 11684327496 14605409370 18500185202 19473879160 27750277803 29210818740 37000370404 46250463005 55500555606 58421637480 74000740808 92500926010 111001111212 138751389015 185001852020 222002222424 277502778030 370003704040 555005556060 1110011112120