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122120011992 = 233111313531113
BaseRepresentation
bin111000110111011101…
…0111000000011011000
3102200012202100101020010
41301232322320003120
54000100210340432
6132033503401520
711552150655246
oct1615672700330
9380182311203
10122120011992
1147877621550
121b8018b32a0
13b692490c34
145ca6b21796
15329b1723cc
hex1c6eeb80d8

122120011992 has 64 divisors (see below), whose sum is σ = 335597074560. Its totient is φ = 36723564800.

The previous prime is 122120011903. The next prime is 122120012029. The reversal of 122120011992 is 299110021221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730973 + ... + 1800140.

It is an arithmetic number, because the mean of its divisors is an integer number (5243704290).

Almost surely, 2122120011992 is an apocalyptic number.

122120011992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122120011992 is an abundant number, since it is smaller than the sum of its proper divisors (213477062568).

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

122120011992 is a wasteful number, since it uses less digits than its factorization.

122120011992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3531264 (or 3531260 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 122120011992 in words is "one hundred twenty-two billion, one hundred twenty million, eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 8646 11528 17292 34584 3531113 7062226 10593339 14124452 21186678 28248904 38842243 42373356 77684486 84746712 116526729 155368972 233053458 310737944 462575803 466106916 925151606 932213832 1387727409 1850303212 2775454818 3700606424 5088333833 5550909636 10176667666 11101819272 15265001499 20353335332 30530002998 40706670664 61060005996 122120011992