12131057664 has 360 divisors, whose sum is σ = 39789099168. Its totient is φ = 3662807040.

The previous prime is 12131057633. The next prime is 12131057683. The reversal of 12131057664 is 46675013121.

12131057664 is a `hidden beast` number, since 1 + 2 + 13 + 10 + 576 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43794294 + ... + 43794570.

Almost surely, 2^12131057664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12131057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19894549584).

12131057664 is an abundant number, since it is smaller than the sum of its proper divisors (27658041504).

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

12131057664 is an frugal number, since it uses more digits than its factorization.

12131057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12131057664 in words is "twelve billion, one hundred thirty-one million, fifty-seven thousand, six hundred sixty-four".