12979136862720 has 960 divisors, whose sum is σ = 52293795840000. Its totient is φ = 2913818738688.

The previous prime is 12979136862707. The next prime is 12979136862733. The reversal of 12979136862720 is 2726863197921.

12979136862720 is a `hidden beast` number, since 1 + 297 + 9 + 13 + 68 + 6 + 272 + 0 = 666.

12979136862720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12979136862707) and next prime (12979136862733).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2535480321 + ... + 2535485439.

It is an arithmetic number, because the mean of its divisors is an integer number (54472704000).

Almost surely, 2^{12979136862720} is an apocalyptic number.

12979136862720 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 12979136862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26146897920000).

12979136862720 is an abundant number, since it is smaller than the sum of its proper divisors (39314658977280).

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

12979136862720 is a wasteful number, since it uses less digits than its factorization.

12979136862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5414 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 12979136862720 in words is "twelve trillion, nine hundred seventy-nine billion, one hundred thirty-six million, eight hundred sixty-two thousand, seven hundred twenty".