1312400000 has 192 divisors, whose sum is σ = 3478136760. Its totient is φ = 491520000.

The previous prime is 1312399999. The next prime is 1312400021. The reversal of 1312400000 is 42131.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 590295616 + 722104384 = 24296^2 + 26872^2 .

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, 6799904 + ... + 6800096.

Almost surely, 2^1312400000 is an apocalyptic number.

1312400000 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 1312400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739068380).

1312400000 is an abundant number, since it is smaller than the sum of its proper divisors (2165736760).

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

1312400000 is an frugal number, since it uses more digits than its factorization.

1312400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1312400000 is about 36227.0617080657. The cubic root of 1312400000 is about 1094.8519777950.

Adding to 1312400000 its reverse (42131), we get a palindrome (1312442131).

The spelling of 1312400000 in words is "one billion, three hundred twelve million, four hundred thousand".