12972636298080 has 384 divisors, whose sum is σ = 47207111333760. Its totient is φ = 3365869842432.

The previous prime is 12972636298073. The next prime is 12972636298109. The reversal of 12972636298080 is 8089263627921.

12972636298080 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 263 + 6 + 298 + 0 + 80 = 666.

12972636298080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12972636298080² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12972636297999 and 12972636298017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12446052 + ... + 13448028.

It is an arithmetic number, because the mean of its divisors is an integer number (122935185765).

Almost surely, 2^{12972636298080} is an apocalyptic number.

12972636298080 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 12972636298080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23603555666880).

12972636298080 is an abundant number, since it is smaller than the sum of its proper divisors (34234475035680).

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

12972636298080 is an equidigital number, since it uses as much as digits as its factorization.

12972636298080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002050 (or 1002024 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 12972636298080 in words is "twelve trillion, nine hundred seventy-two billion, six hundred thirty-six million, two hundred ninety-eight thousand, eighty".