12236800 has 72 divisors (see below), whose sum is σ = 30466800. Its totient is φ = 4874240.

The previous prime is 12236767. The next prime is 12236803. The reversal of 12236800 is 863221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12236803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51081 + ... + 51319.

It is an arithmetic number, because the mean of its divisors is an integer number (423150).

Almost surely, 2^12236800 is an apocalyptic number.

12236800 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 12236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233400).

12236800 is an abundant number, since it is smaller than the sum of its proper divisors (18230000).

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

12236800 is an equidigital number, since it uses as much as digits as its factorization.

12236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12236800 is about 3498.1137774521. The cubic root of 12236800 is about 230.4389851726.

The spelling of 12236800 in words is "twelve million, two hundred thirty-six thousand, eight hundred".