1312140756192 has 96 divisors (see below), whose sum is σ = 3936622540032. Its totient is φ = 374878285824.

The previous prime is 1312140756169. The next prime is 1312140756209. The reversal of 1312140756192 is 2916570412131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1312140756192² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18099088 + ... + 18171440.

It is an arithmetic number, because the mean of its divisors is an integer number (41006484792).

Almost surely, 2^{1312140756192} is an apocalyptic number.

1312140756192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312140756192 is an abundant number, since it is smaller than the sum of its proper divisors (2624481783840).

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

1312140756192 is a wasteful number, since it uses less digits than its factorization.

1312140756192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99360 (or 99352 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 1312140756192 in words is "one trillion, three hundred twelve billion, one hundred forty million, seven hundred fifty-six thousand, one hundred ninety-two".