1312004400 has 360 divisors, whose sum is σ = 4993033104. Its totient is φ = 293529600.

The previous prime is 1312004381. The next prime is 1312004411. The reversal of 1312004400 is 44002131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1312004400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3116190 + ... + 3116610.

Almost surely, 2^1312004400 is an apocalyptic number.

1312004400 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 1312004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496516552).

1312004400 is an abundant number, since it is smaller than the sum of its proper divisors (3681028704).

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

1312004400 is a wasteful number, since it uses less digits than its factorization.

1312004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1312004400 is about 36221.6012898381. The cubic root of 1312004400 is about 1094.7419587539.

Adding to 1312004400 its reverse (44002131), we get a palindrome (1356006531).

The spelling of 1312004400 in words is "one billion, three hundred twelve million, four thousand, four hundred".