12313032816 has 240 divisors, whose sum is σ = 39579386400. Its totient is φ = 3277209600.

The previous prime is 12313032779. The next prime is 12313032829. The reversal of 12313032816 is 61823031321.

It is a super-2 number, since 2×12313032816² (a number of 21 digits) contains 22 as substring.

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, 4036860 + ... + 4039908.

It is an arithmetic number, because the mean of its divisors is an integer number (164914110).

Almost surely, 2^12313032816 is an apocalyptic number.

12313032816 is a gapful number since it is divisible by the number (16) 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 12313032816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19789693200).

12313032816 is an abundant number, since it is smaller than the sum of its proper divisors (27266353584).

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

12313032816 is a wasteful number, since it uses less digits than its factorization.

12313032816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 12313032816 in words is "twelve billion, three hundred thirteen million, thirty-two thousand, eight hundred sixteen".