11988800 has 84 divisors (see below), whose sum is σ = 30236160. Its totient is φ = 4677120.

The previous prime is 11988799. The next prime is 11988811. The reversal of 11988800 is 888911.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 94337 + ... + 94463.

Almost surely, 2^11988800 is an apocalyptic number.

11988800 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 11988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15118080).

11988800 is an abundant number, since it is smaller than the sum of its proper divisors (18247360).

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

11988800 is a wasteful number, since it uses less digits than its factorization.

11988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 11988800 is about 3462.4846570057. The cubic root of 11988800 is about 228.8715996758.

The spelling of 11988800 in words is "eleven million, nine hundred eighty-eight thousand, eight hundred".