1012400596800 has 252 divisors, whose sum is σ = 3731582962016. Its totient is φ = 269973388800.

The previous prime is 1012400596799. The next prime is 1012400596903. The reversal of 1012400596800 is 86950042101.

1012400596800 is a `hidden beast` number, since 10 + 12 + 40 + 0 + 596 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 913156 + ... + 1690755.

Almost surely, 2^{1012400596800} is an apocalyptic number.

1012400596800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012400596800 is an abundant number, since it is smaller than the sum of its proper divisors (2719182365216).

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

1012400596800 is an equidigital number, since it uses as much as digits as its factorization.

1012400596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603948 (or 2603921 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1012400596800 in words is "one trillion, twelve billion, four hundred million, five hundred ninety-six thousand, eight hundred".