12979274360976 has 675 divisors, whose sum is σ = 46661703244793. Its totient is φ = 3365187598080.

The previous prime is 12979274360963. The next prime is 12979274361049. The reversal of 12979274360976 is 67906347297921.

It is a happy number.

The square root of 12979274360976 is 3602676.

It is a perfect power (a square), and thus also a powerful number.

12979274360976 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 9 + 2 + 7 + 4 + 3 + 609 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1138958528400 + 11840315832576 = 1067220^2 + 3440976^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 23302108090 + ... + 23302108646.

Almost surely, 2^{12979274360976} is an apocalyptic number.

12979274360976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12979274360976 is the 3602676-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12979274360976

12979274360976 is an abundant number, since it is smaller than the sum of its proper divisors (33682428883817).

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

12979274360976 is an frugal number, since it uses more digits than its factorization.

12979274360976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 12979274360976 in words is "twelve trillion, nine hundred seventy-nine billion, two hundred seventy-four million, three hundred sixty thousand, nine hundred seventy-six".