12722934251520 has 864 divisors, whose sum is σ = 45932486745600. Its totient is φ = 3254318530560.

The previous prime is 12722934251477. The next prime is 12722934251563. The reversal of 12722934251520 is 2515243922721.

12722934251520 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 2 + 93 + 42 + 515 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12722934251477) and next prime (12722934251563).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27243970327 + ... + 27243970793.

It is an arithmetic number, because the mean of its divisors is an integer number (53162600400).

Almost surely, 2^{12722934251520} is an apocalyptic number.

12722934251520 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 12722934251520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22966243372800).

12722934251520 is an abundant number, since it is smaller than the sum of its proper divisors (33209552494080).

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

12722934251520 is an equidigital number, since it uses as much as digits as its factorization.

12722934251520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12722934251520 in words is "twelve trillion, seven hundred twenty-two billion, nine hundred thirty-four million, two hundred fifty-one thousand, five hundred twenty".