1312230400 has 132 divisors (see below), whose sum is σ = 3503841712. Its totient is φ = 484392960.

The previous prime is 1312230373. The next prime is 1312230401. The reversal of 1312230400 is 40322131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312230401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330829 + ... + 334771.

Almost surely, 2^1312230400 is an apocalyptic number.

1312230400 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 1312230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751920856).

1312230400 is an abundant number, since it is smaller than the sum of its proper divisors (2191611312).

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

1312230400 is a wasteful number, since it uses less digits than its factorization.

1312230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1312230400 is about 36224.7208408843. The cubic root of 1312230400 is about 1094.8048135934.

Adding to 1312230400 its reverse (40322131), we get a palindrome (1352552531).

The spelling of 1312230400 in words is "one billion, three hundred twelve million, two hundred thirty thousand, four hundred".