13112800 has 72 divisors (see below), whose sum is σ = 32951016. Its totient is φ = 5091840.

The previous prime is 13112773. The next prime is 13112819. The reversal of 13112800 is 821131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29379 + ... + 29821.

It is an arithmetic number, because the mean of its divisors is an integer number (457653).

Almost surely, 2^13112800 is an apocalyptic number.

13112800 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 13112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16475508).

13112800 is an abundant number, since it is smaller than the sum of its proper divisors (19838216).

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

13112800 is a wasteful number, since it uses less digits than its factorization.

13112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 13112800 is about 3621.1600351269. The cubic root of 13112800 is about 235.8115895441.

Adding to 13112800 its reverse (821131), we get a palindrome (13933931).

The spelling of 13112800 in words is "thirteen million, one hundred twelve thousand, eight hundred".