1312232400 has 300 divisors, whose sum is σ = 4767986124. Its totient is φ = 345600000.

The previous prime is 1312232399. The next prime is 1312232413. The reversal of 1312232400 is 42322131.

1312232400 is a `hidden beast` number, since 1 + 31 + 2 + 232 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 294877584 + 1017354816 = 17172^2 + 31896^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3272200 + ... + 3272600.

Almost surely, 2^1312232400 is an apocalyptic number.

1312232400 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 1312232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383993062).

1312232400 is an abundant number, since it is smaller than the sum of its proper divisors (3455753724).

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

1312232400 is a wasteful number, since it uses less digits than its factorization.

1312232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1312232400 is about 36224.7484463315. The cubic root of 1312232400 is about 1094.8053697987.

Adding to 1312232400 its reverse (42322131), we get a palindrome (1354554531).

The spelling of 1312232400 in words is "one billion, three hundred twelve million, two hundred thirty-two thousand, four hundred".