1312516028760 has 128 divisors (see below), whose sum is σ = 4009469829120. Its totient is φ = 343668068352.

The previous prime is 1312516028737. The next prime is 1312516028773. The reversal of 1312516028760 is 678206152131.

It is a happy number.

It is a super-2 number, since 2×1312516028760² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1034347 + ... + 1922213.

It is an arithmetic number, because the mean of its divisors is an integer number (31323983040).

Almost surely, 2^{1312516028760} is an apocalyptic number.

1312516028760 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 1312516028760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004734914560).

1312516028760 is an abundant number, since it is smaller than the sum of its proper divisors (2696953800360).

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

1312516028760 is a wasteful number, since it uses less digits than its factorization.

1312516028760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888105 (or 888101 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 1312516028760 in words is "one trillion, three hundred twelve billion, five hundred sixteen million, twenty-eight thousand, seven hundred sixty".