12312641088 has 224 divisors, whose sum is σ = 40160448000. Its totient is φ = 3667530240.

The previous prime is 12312641057. The next prime is 12312641123. The reversal of 12312641088 is 88014621321.

12312641088 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 641 + 0 + 8 + 8 = 666.

It is a super-2 number, since 2×12312641088² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1115983 + ... + 1126961.

Almost surely, 2^12312641088 is an apocalyptic number.

12312641088 is a gapful number since it is divisible by the number (18) 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 12312641088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20080224000).

12312641088 is an abundant number, since it is smaller than the sum of its proper divisors (27847806912).

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

12312641088 is a wasteful number, since it uses less digits than its factorization.

12312641088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11070 (or 11054 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 12312641088 in words is "twelve billion, three hundred twelve million, six hundred forty-one thousand, eighty-eight".