12976816000 has 128 divisors (see below), whose sum is σ = 32417199360. Its totient is φ = 5166028800.

The previous prime is 12976815991. The next prime is 12976816001. The reversal of 12976816000 is 61867921.

12976816000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12976816001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3566182 + ... + 3569818.

It is an arithmetic number, because the mean of its divisors is an integer number (253259370).

Almost surely, 2^12976816000 is an apocalyptic number.

12976816000 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 12976816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16208599680).

12976816000 is an abundant number, since it is smaller than the sum of its proper divisors (19440383360).

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

12976816000 is an equidigital number, since it uses as much as digits as its factorization.

12976816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3867 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 12976816000 in words is "twelve billion, nine hundred seventy-six million, eight hundred sixteen thousand".