12088800 has 216 divisors, whose sum is σ = 45090864. Its totient is φ = 3041280.

The previous prime is 12088799. The next prime is 12088831. The reversal of 12088800 is 888021.

12088800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12088800² = 292278170880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165564 + ... + 165636.

It is an arithmetic number, because the mean of its divisors is an integer number (208754).

Almost surely, 2^12088800 is an apocalyptic number.

12088800 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 12088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22545432).

12088800 is an abundant number, since it is smaller than the sum of its proper divisors (33002064).

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

12088800 is a wasteful number, since it uses less digits than its factorization.

12088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 12088800 is about 3476.8951666681. The cubic root of 12088800 is about 229.5061869123.

The spelling of 12088800 in words is "twelve million, eighty-eight thousand, eight hundred".