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121122685376 = 26711231068629
BaseRepresentation
bin111000011001101111…
…0011000000111000000
3102120122020200221022022
41300303132120013000
53441024401413001
6131350515301012
711515350560420
oct1606336300700
9376566627268
10121122685376
1147405664280
121b5838aa768
13b56397b844
145c104ac480
15323d81d11b
hex1c337981c0

121122685376 has 112 divisors (see below), whose sum is σ = 312689687040. Its totient is φ = 45138846720.

The previous prime is 121122685351. The next prime is 121122685379. The reversal of 121122685376 is 673586221121.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1211226853762 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121122685379) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420971 + ... + 647658.

Almost surely, 2121122685376 is an apocalyptic number.

121122685376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

121122685376 is an abundant number, since it is smaller than the sum of its proper divisors (191567001664).

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

121122685376 is a wasteful number, since it uses less digits than its factorization.

121122685376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068682 (or 1068672 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The spelling of 121122685376 in words is "one hundred twenty-one billion, one hundred twenty-two million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 56 64 77 88 92 112 154 161 176 184 224 253 308 322 352 368 448 506 616 644 704 736 1012 1232 1288 1472 1771 2024 2464 2576 3542 4048 4928 5152 7084 8096 10304 14168 16192 28336 56672 113344 1068629 2137258 4274516 7480403 8549032 11754919 14960806 17098064 23509838 24578467 29921612 34196128 47019676 49156934 59843224 68392256 82284433 94039352 98313868 119686448 164568866 172049269 188078704 196627736 239372896 270363137 329137732 344098538 376157408 393255472 478745792 540726274 658275464 688197076 752314816 786510944 1081452548 1316550928 1376394152 1573021888 1892541959 2162905096 2633101856 2752788304 3785083918 4325810192 5266203712 5505576608 7570167836 8651620384 11011153216 15140335672 17303240768 30280671344 60561342688 121122685376