12316012800 has 1296 divisors, whose sum is σ = 54609629760. Its totient is φ = 2415329280.

The previous prime is 12316012771. The next prime is 12316012823. The reversal of 12316012800 is 821061321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232377574 + ... + 232377626.

It is an arithmetic number, because the mean of its divisors is an integer number (42137060).

Almost surely, 2^12316012800 is an apocalyptic number.

12316012800 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 12316012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27304814880).

12316012800 is an abundant number, since it is smaller than the sum of its proper divisors (42293616960).

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

12316012800 is a wasteful number, since it uses less digits than its factorization.

12316012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 12316012800 in words is "twelve billion, three hundred sixteen million, twelve thousand, eight hundred".