1312942400 has 168 divisors, whose sum is σ = 4028212416. Its totient is φ = 409190400.

The previous prime is 1312942381. The next prime is 1312942429. The reversal of 1312942400 is 42492131.

1312942400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1312942400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117872 + ... + 128528.

Almost surely, 2^1312942400 is an apocalyptic number.

1312942400 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 1312942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014106208).

1312942400 is an abundant number, since it is smaller than the sum of its proper divisors (2715270016).

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

1312942400 is a wasteful number, since it uses less digits than its factorization.

1312942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10697 (or 10682 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1312942400 is about 36234.5470511224. The cubic root of 1312942400 is about 1095.0027869796.

The spelling of 1312942400 in words is "one billion, three hundred twelve million, nine hundred forty-two thousand, four hundred".