1312637514720 has 384 divisors, whose sum is σ = 4894051663872. Its totient is φ = 289509427200.

The previous prime is 1312637514691. The next prime is 1312637514731. The reversal of 1312637514720 is 274157362131.

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 63 ways as a sum of consecutive naturals, for example, 11153785 + ... + 11270855.

It is an arithmetic number, because the mean of its divisors is an integer number (12744926208).

Almost surely, 2^{1312637514720} is an apocalyptic number.

1312637514720 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 1312637514720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447025831936).

1312637514720 is an abundant number, since it is smaller than the sum of its proper divisors (3581414149152).

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

1312637514720 is a wasteful number, since it uses less digits than its factorization.

1312637514720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117214 (or 117206 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 1312637514720 in words is "one trillion, three hundred twelve billion, six hundred thirty-seven million, five hundred fourteen thousand, seven hundred twenty".