1311204400 has 90 divisors (see below), whose sum is σ = 3462709796. Its totient is φ = 476784000.

The previous prime is 1311204397. The next prime is 1311204443. The reversal of 1311204400 is 44021131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34855 + ... + 61945.

Almost surely, 2^1311204400 is an apocalyptic number.

1311204400 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 1311204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731354898).

1311204400 is an abundant number, since it is smaller than the sum of its proper divisors (2151505396).

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

1311204400 is a wasteful number, since it uses less digits than its factorization.

1311204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27131 (or 27109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1311204400 is about 36210.5564718357. The cubic root of 1311204400 is about 1094.5194057315.

Adding to 1311204400 its reverse (44021131), we get a palindrome (1355225531).

The spelling of 1311204400 in words is "one billion, three hundred eleven million, two hundred four thousand, four hundred".