12910656000 has 320 divisors, whose sum is σ = 46834609536. Its totient is φ = 3129344000.

The previous prime is 12910655981. The next prime is 12910656007. The reversal of 12910656000 is 65601921.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12910656007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2108944 + ... + 2115056.

Almost surely, 2^12910656000 is an apocalyptic number.

12910656000 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 12910656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417304768).

12910656000 is an abundant number, since it is smaller than the sum of its proper divisors (33923953536).

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

12910656000 is an equidigital number, since it uses as much as digits as its factorization.

12910656000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6160 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 12910656000 in words is "twelve billion, nine hundred ten million, six hundred fifty-six thousand".