12312513360 has 240 divisors, whose sum is σ = 48356440704. Its totient is φ = 2748791808.

The previous prime is 12312513331. The next prime is 12312513371. The reversal of 12312513360 is 6331521321.

12312513360 is a `hidden beast` number, since 12 + 312 + 5 + 1 + 336 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188314 + ... + 245126.

Almost surely, 2^12312513360 is an apocalyptic number.

12312513360 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 12312513360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178220352).

12312513360 is an abundant number, since it is smaller than the sum of its proper divisors (36043927344).

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

12312513360 is a wasteful number, since it uses less digits than its factorization.

12312513360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56882 (or 56873 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 12312513360 in words is "twelve billion, three hundred twelve million, five hundred thirteen thousand, three hundred sixty".