1312640899200 has 864 divisors, whose sum is σ = 4919013615360. Its totient is φ = 346068080640.

The previous prime is 1312640899187. The next prime is 1312640899259. The reversal of 1312640899200 is 29980462131.

1312640899200 is a `hidden beast` number, since 1 + 31 + 2 + 6 + 408 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1312640899200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2162505297 + ... + 2162505903.

Almost surely, 2^{1312640899200} is an apocalyptic number.

1312640899200 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 1312640899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459506807680).

1312640899200 is an abundant number, since it is smaller than the sum of its proper divisors (3606372716160).

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

1312640899200 is an frugal number, since it uses more digits than its factorization.

1312640899200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1312640899200 in words is "one trillion, three hundred twelve billion, six hundred forty million, eight hundred ninety-nine thousand, two hundred".