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122012431032 = 233293141137927
BaseRepresentation
bin111000110100010000…
…0011111001010111000
3102122221020220200220010
41301220200133022320
53444340140243112
6132015101501520
711546403360162
oct1615040371270
9378836820803
10122012431032
1147821922368
121b7918718a0
13b6760c496b
145c96719932
1532919c163c
hex1c6881f2b8

122012431032 has 128 divisors (see below), whose sum is σ = 333675417600. Its totient is φ = 37074508800.

The previous prime is 122012430997. The next prime is 122012431033. The reversal of 122012431032 is 230134210221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012431033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815653 + ... + 953579.

It is an arithmetic number, because the mean of its divisors is an integer number (2606839200).

Almost surely, 2122012431032 is an apocalyptic number.

122012431032 is a gapful number since it is divisible by the number (12) 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 122012431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166837708800).

122012431032 is an abundant number, since it is smaller than the sum of its proper divisors (211662986568).

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

122012431032 is a wasteful number, since it uses less digits than its factorization.

122012431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138037 (or 138033 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122012431032 its reverse (230134210221), we get a palindrome (352146641253).

The spelling of 122012431032 in words is "one hundred twenty-two billion, twelve million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 41 58 62 82 87 93 116 123 124 164 174 186 232 246 248 328 348 372 492 696 744 899 984 1189 1271 1798 2378 2542 2697 3567 3596 3813 4756 5084 5394 7134 7192 7626 9512 10168 10788 14268 15252 21576 28536 30504 36859 73718 110577 137927 147436 221154 275854 294872 413781 442308 551708 827562 884616 1103416 1655124 3310248 3999883 4275737 5655007 7999766 8551474 11310014 11999649 12827211 15999532 16965021 17102948 22620028 23999298 25654422 31999064 33930042 34205896 45240056 47998596 51308844 67860084 95997192 102617688 123996373 135720168 163995203 175305217 247992746 327990406 350610434 371989119 491985609 495985492 525915651 655980812 701220868 743978238 983971218 991970984 1051831302 1311961624 1402441736 1487956476 1967942436 2103662604 2975912952 3935884872 4207325208 5083851293 10167702586 15251553879 20335405172 30503107758 40670810344 61006215516 122012431032