1312251144480 has 192 divisors, whose sum is σ = 4741036876800. Its totient is φ = 338645422080.

The previous prime is 1312251144469. The next prime is 1312251144497. The reversal of 1312251144480 is 844411522131.

1312251144480 is a `hidden beast` number, since 1 + 3 + 1 + 22 + 511 + 4 + 44 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4765465 + ... + 5033304.

It is an arithmetic number, because the mean of its divisors is an integer number (24692900400).

Almost surely, 2^{1312251144480} is an apocalyptic number.

1312251144480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312251144480 is an abundant number, since it is smaller than the sum of its proper divisors (3428785732320).

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

1312251144480 is a wasteful number, since it uses less digits than its factorization.

1312251144480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9798824 (or 9798810 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1312251144480 in words is "one trillion, three hundred twelve billion, two hundred fifty-one million, one hundred forty-four thousand, four hundred eighty".