1312164570600 has 1296 divisors, whose sum is σ = 5088163282020. Its totient is φ = 314424115200.

The previous prime is 1312164570589. The next prime is 1312164570623. The reversal of 1312164570600 is 60754612131.

1312164570600 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 1 + 6 + 45 + 7 + 0 + 600 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 753698312964 + 558466257636 = 868158^2 + 747306^2 .

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 323 ways as a sum of consecutive naturals, for example, 13527469752 + ... + 13527469848.

Almost surely, 2^{1312164570600} is an apocalyptic number.

1312164570600 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 1312164570600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544081641010).

1312164570600 is an abundant number, since it is smaller than the sum of its proper divisors (3775998711420).

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

1312164570600 is an equidigital number, since it uses as much as digits as its factorization.

1312164570600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1312164570600 in words is "one trillion, three hundred twelve billion, one hundred sixty-four million, five hundred seventy thousand, six hundred".