12930600960 has 468 divisors, whose sum is σ = 46947502836. Its totient is φ = 3291217920.

The previous prime is 12930600953. The next prime is 12930600973. The reversal of 12930600960 is 6900603921.

12930600960 is a `hidden beast` number, since 12 + 9 + 30 + 600 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5987045376 + 6943555584 = 77376^2 + 83328^2 .

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 35 ways as a sum of consecutive naturals, for example, 177131484 + ... + 177131556.

It is an arithmetic number, because the mean of its divisors is an integer number (100315177).

Almost surely, 2^12930600960 is an apocalyptic number.

12930600960 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 12930600960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23473751418).

12930600960 is an abundant number, since it is smaller than the sum of its proper divisors (34016901876).

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

12930600960 is an equidigital number, since it uses as much as digits as its factorization.

12930600960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The spelling of 12930600960 in words is "twelve billion, nine hundred thirty million, six hundred thousand, nine hundred sixty".