1312304000 has 128 divisors (see below), whose sum is σ = 3729136320. Its totient is φ = 449894400.

The previous prime is 1312303999. The next prime is 1312304011. The reversal of 1312304000 is 4032131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106142 + ... + 117858.

Almost surely, 2^1312304000 is an apocalyptic number.

1312304000 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 1312304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864568160).

1312304000 is an abundant number, since it is smaller than the sum of its proper divisors (2416832320).

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

1312304000 is an equidigital number, since it uses as much as digits as its factorization.

1312304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11753 (or 11731 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1312304000 is about 36225.7367074846. The cubic root of 1312304000 is about 1094.8252815762.

Adding to 1312304000 its reverse (4032131), we get a palindrome (1316336131).

The spelling of 1312304000 in words is "one billion, three hundred twelve million, three hundred four thousand".