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122011110992 = 24177119073313
BaseRepresentation
bin111000110100001101…
…1011100111001010000
3102122221011102122010202
41301220123130321100
53444334321022432
6132015013314332
711546356221521
oct1615033347120
9378834378122
10122011110992
1147821100621
121b7913359a8
13b675a51b84
145c96494848
153291810462
hex1c686dce50

122011110992 has 80 divisors (see below), whose sum is σ = 254037347712. Its totient is φ = 56561541120.

The previous prime is 122011110989. The next prime is 122011111051. The reversal of 122011110992 is 299011110221.

It is a super-2 number, since 2×1220111109922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36826328 + ... + 36829640.

Almost surely, 2122011110992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122011110992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127018673856).

122011110992 is an abundant number, since it is smaller than the sum of its proper divisors (132026236720).

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

122011110992 is a wasteful number, since it uses less digits than its factorization.

122011110992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5310 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 29.

The spelling of 122011110992 in words is "one hundred twenty-two billion, eleven million, one hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 1907 2414 3313 3814 4828 6626 7628 9656 13252 15256 19312 26504 30512 32419 53008 56321 64838 112642 129676 135397 225284 235223 259352 270794 450568 470446 518704 541588 901136 940892 1083176 1881784 2166352 2301749 3763568 3998791 4603498 6317891 7997582 9206996 12635782 15995164 18413992 25271564 31990328 36827984 50543128 63980656 101086256 107404147 214808294 429616588 448570261 859233176 897140522 1718466352 1794281044 3588562088 7177124176 7625694437 15251388874 30502777748 61005555496 122011110992