11412800 has 84 divisors (see below), whose sum is σ = 32125920. Its totient is φ = 3909120.

The previous prime is 11412769. The next prime is 11412811. The reversal of 11412800 is 821411.

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, 10691 + ... + 11709.

Almost surely, 2^11412800 is an apocalyptic number.

11412800 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 11412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062960).

11412800 is an abundant number, since it is smaller than the sum of its proper divisors (20713120).

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

11412800 is a wasteful number, since it uses less digits than its factorization.

11412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 11412800 is about 3378.2835878594. The cubic root of 11412800 is about 225.1459135843.

The spelling of 11412800 in words is "eleven million, four hundred twelve thousand, eight hundred".