12872097504 has 240 divisors, whose sum is σ = 45542851200. Its totient is φ = 3484083456.

The previous prime is 12872097473. The next prime is 12872097533. The reversal of 12872097504 is 40579027821.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12872097504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 326067 + ... + 363405.

It is an arithmetic number, because the mean of its divisors is an integer number (189761880).

Almost surely, 2^12872097504 is an apocalyptic number.

12872097504 is a gapful number since it is divisible by the number (14) 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 12872097504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22771425600).

12872097504 is an abundant number, since it is smaller than the sum of its proper divisors (32670753696).

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

12872097504 is a wasteful number, since it uses less digits than its factorization.

12872097504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37387 (or 37370 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 12872097504 in words is "twelve billion, eight hundred seventy-two million, ninety-seven thousand, five hundred four".