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12231032112 = 24321329225299
BaseRepresentation
bin10110110010000011…
…01011110100110000
31011120101211210211100
423121001223310300
5200022121011422
65341401244400
7612045025515
oct133101536460
934511753740
1012231032112
11520710a502
122454193700
1311cbc95810
1484059b30c
154b8ba97ac
hex2d906bd30

12231032112 has 120 divisors (see below), whose sum is σ = 38134278000. Its totient is φ = 3633606144.

The previous prime is 12231032081. The next prime is 12231032117. The reversal of 12231032112 is 21123013221.

12231032112 is a `hidden beast` number, since 1 + 22 + 310 + 321 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12231032117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58362 + ... + 166937.

It is an arithmetic number, because the mean of its divisors is an integer number (317785650).

Almost surely, 212231032112 is an apocalyptic number.

12231032112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12231032112 is an abundant number, since it is smaller than the sum of its proper divisors (25903245888).

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

12231032112 is a wasteful number, since it uses less digits than its factorization.

12231032112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225355 (or 225346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12231032112 its reverse (21123013221), we get a palindrome (33354045333).

The spelling of 12231032112 in words is "twelve billion, two hundred thirty-one million, thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 3016 3393 4176 4524 6032 6786 9048 13572 18096 27144 54288 225299 450598 675897 901196 1351794 1802392 2027691 2703588 2928887 3604784 4055382 5407176 5857774 6533671 8110764 8786661 10814352 11715548 13067342 16221528 17573322 19601013 23431096 26134684 26359983 32443056 35146644 39202026 46862192 52269368 52719966 58803039 70293288 78404052 84937723 104538736 105439932 117606078 140586576 156808104 169875446 210879864 235212156 254813169 313616208 339750892 421759728 470424312 509626338 679501784 764439507 940848624 1019252676 1359003568 1528879014 2038505352 3057758028 4077010704 6115516056 12231032112