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12231369432 = 2332199853669
BaseRepresentation
bin10110110010000101…
…11110001011011000
31011120102110221112200
423121002332023120
5200022212310212
65341412410200
7612050632122
oct133102761330
934512427480
1012231369432
11520731a987
122454316960
1311cc083209
14840648212
154b8c246dc
hex2d90be2d8

12231369432 has 48 divisors (see below), whose sum is σ = 33293130000. Its totient is φ = 4056630336.

The previous prime is 12231369427. The next prime is 12231369499. The reversal of 12231369432 is 23496313221.

12231369432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 412507 + ... + 441162.

It is an arithmetic number, because the mean of its divisors is an integer number (693606875).

Almost surely, 212231369432 is an apocalyptic number.

12231369432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12231369432 is an abundant number, since it is smaller than the sum of its proper divisors (21061760568).

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

12231369432 is a wasteful number, since it uses less digits than its factorization.

12231369432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853880 (or 853873 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 12231369432 in words is "twelve billion, two hundred thirty-one million, three hundred sixty-nine thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 853669 1707338 2561007 3414676 5122014 6829352 7683021 10244028 15366042 20488056 30732084 61464168 169880131 339760262 509640393 679520524 1019280786 1359041048 1528921179 2038561572 3057842358 4077123144 6115684716 12231369432