12831112800 has 720 divisors, whose sum is σ = 52268654592. Its totient is φ = 3036441600.

The previous prime is 12831112793. The next prime is 12831112817. The reversal of 12831112800 is 821113821.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33501409 + ... + 33501791.

Almost surely, 2^12831112800 is an apocalyptic number.

12831112800 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 12831112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26134327296).

12831112800 is an abundant number, since it is smaller than the sum of its proper divisors (39437541792).

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

12831112800 is a wasteful number, since it uses less digits than its factorization.

12831112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 12831112800 in words is "twelve billion, eight hundred thirty-one million, one hundred twelve thousand, eight hundred".