13120400 has 30 divisors (see below), whose sum is σ = 31522722. Its totient is φ = 5248000.

The previous prime is 13120351. The next prime is 13120411. The reversal of 13120400 is 402131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 44944 + 13075456 = 212^2 + 3616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16001 + ... + 16800.

Almost surely, 2^13120400 is an apocalyptic number.

13120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120400 is an abundant number, since it is smaller than the sum of its proper divisors (18402322).

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

13120400 is a wasteful number, since it uses less digits than its factorization.

13120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32819 (or 32808 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 13120400 is about 3622.2092705972. The cubic root of 13120400 is about 235.8571384722.

Adding to 13120400 its reverse (402131), we get a palindrome (13522531).

The spelling of 13120400 in words is "thirteen million, one hundred twenty thousand, four hundred".