1312152644400 has 240 divisors, whose sum is σ = 4561151400960. Its totient is φ = 320525337600.

The previous prime is 1312152644393. The next prime is 1312152644401. The reversal of 1312152644400 is 44462512131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (1312152644401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1722561 + ... + 2364639.

It is an arithmetic number, because the mean of its divisors is an integer number (19004797504).

Almost surely, 2^{1312152644400} is an apocalyptic number.

1312152644400 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 1312152644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280575700480).

1312152644400 is an abundant number, since it is smaller than the sum of its proper divisors (3248998756560).

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

1312152644400 is a wasteful number, since it uses less digits than its factorization.

1312152644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642244 (or 642233 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 1312152644400 in words is "one trillion, three hundred twelve billion, one hundred fifty-two million, six hundred forty-four thousand, four hundred".