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12232394880 = 2735172912923
BaseRepresentation
bin10110110010001101…
…11000100010000000
31011120111102001012020
423121012320202000
5200022443114010
65341450401440
7612062432556
oct133106704200
934514361166
1012232394880
115207960362
122454730280
1311cc351ba4
14840833bd6
154b8d78470
hex2d91b8880

12232394880 has 256 divisors, whose sum is σ = 42711235200. Its totient is φ = 2963996672.

The previous prime is 12232394861. The next prime is 12232394939. The reversal of 12232394880 is 8849323221.

It is a super-5 number, since 5×122323948805 (a number of 52 digits) contains 55555 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940099 + ... + 953021.

Almost surely, 212232394880 is an apocalyptic number.

12232394880 is a gapful number since it is divisible by the number (10) 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 12232394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355617600).

12232394880 is an abundant number, since it is smaller than the sum of its proper divisors (30478840320).

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

12232394880 is a wasteful number, since it uses less digits than its factorization.

12232394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12991 (or 12979 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 12232394880 in words is "twelve billion, two hundred thirty-two million, three hundred ninety-four thousand, eight hundred eighty".