1312207210400 has 72 divisors (see below), whose sum is σ = 3206140629804. Its totient is φ = 524438067200.

The previous prime is 1312207210339. The next prime is 1312207210427. The reversal of 1312207210400 is 40127022131.

It can be written as a sum of positive squares in 6 ways, for example, as 1092535019536 + 219672190864 = 1045244^2 + 468692^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250364 + ... + 1639236.

Almost surely, 2^{1312207210400} is an apocalyptic number.

1312207210400 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 1312207210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603070314902).

1312207210400 is an abundant number, since it is smaller than the sum of its proper divisors (1893933419404).

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

1312207210400 is a wasteful number, since it uses less digits than its factorization.

1312207210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390074 (or 1390061 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 1312207210400 in words is "one trillion, three hundred twelve billion, two hundred seven million, two hundred ten thousand, four hundred".