12516232396800 has 864 divisors, whose sum is σ = 45419609208960. Its totient is φ = 3016124006400.

The previous prime is 12516232396757. The next prime is 12516232396831. The reversal of 12516232396800 is 869323261521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 12516232396800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30602034996 + ... + 30602035404.

It is an arithmetic number, because the mean of its divisors is an integer number (52568992140).

Almost surely, 2^{12516232396800} is an apocalyptic number.

12516232396800 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 12516232396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22709804604480).

12516232396800 is an abundant number, since it is smaller than the sum of its proper divisors (32903376812160).

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

12516232396800 is an equidigital number, since it uses as much as digits as its factorization.

12516232396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 12516232396800 in words is "twelve trillion, five hundred sixteen billion, two hundred thirty-two million, three hundred ninety-six thousand, eight hundred".