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12014313301332 = 223623179136299
BaseRepresentation
bin1010111011010100110011…
…1000000110010101010100
31120112120001011002011000000
42232311030320012111110
53033320303201120312
641315144353451300
72350001612040006
oct256651470062524
946476034064000
1012014313301332
113912272711a61
121420555270b30
13691c38ba5964
142d76d292c376
1515c7be7ddadc
hexaed4ce06554

12014313301332 has 84 divisors (see below), whose sum is σ = 32893723951200. Its totient is φ = 3830650596432.

The previous prime is 12014313301303. The next prime is 12014313301351. The reversal of 12014313301332 is 23310331341021.

12014313301332 is a `hidden beast` number, since 1 + 2 + 0 + 14 + 3 + 13 + 301 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12014313301296 and 12014313301305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 89501082 + ... + 89635217.

It is an arithmetic number, because the mean of its divisors is an integer number (391591951800).

Almost surely, 212014313301332 is an apocalyptic number.

12014313301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12014313301332 is an abundant number, since it is smaller than the sum of its proper divisors (20879410649868).

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

12014313301332 is a wasteful number, since it uses less digits than its factorization.

12014313301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179136344 (or 179136327 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 12014313301332 its reverse (23310331341021), we get a palindrome (35324644642353).

The spelling of 12014313301332 in words is "twelve trillion, fourteen billion, three hundred thirteen million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 828 972 1242 1458 1863 2484 2916 3726 5589 7452 11178 16767 22356 33534 67068 179136299 358272598 537408897 716545196 1074817794 1612226691 2149635588 3224453382 4120134877 4836680073 6448906764 8240269754 9673360146 12360404631 14510040219 16480539508 19346720292 24720809262 29020080438 37081213893 43530120657 49441618524 58040160876 74162427786 87060241314 111243641679 130590361971 148324855572 174120482628 222487283358 261180723942 333730925037 444974566716 522361447884 667461850074 1001192775111 1334923700148 2002385550222 3003578325333 4004771100444 6007156650666 12014313301332