1312116388352 has 640 divisors, whose sum is σ = 3512860876800. Its totient is φ = 474601881600.

The previous prime is 1312116388309. The next prime is 1312116388369. The reversal of 1312116388352 is 2538836112131.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (207360) is a multiple of the sum of its prime divisors (432).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5729765774 + ... + 5729766002.

It is an arithmetic number, because the mean of its divisors is an integer number (5488845120).

Almost surely, 2^{1312116388352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312116388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756430438400).

1312116388352 is an abundant number, since it is smaller than the sum of its proper divisors (2200744488448).

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

1312116388352 is a wasteful number, since it uses less digits than its factorization.

1312116388352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The spelling of 1312116388352 in words is "one trillion, three hundred twelve billion, one hundred sixteen million, three hundred eighty-eight thousand, three hundred fifty-two".