12232816800 has 288 divisors, whose sum is σ = 41829322752. Its totient is φ = 3099233280.

The previous prime is 12232816789. The next prime is 12232816819. The reversal of 12232816800 is 861823221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9217737 + ... + 9219063.

It is an arithmetic number, because the mean of its divisors is an integer number (145240704).

Almost surely, 2^12232816800 is an apocalyptic number.

12232816800 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 12232816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20914661376).

12232816800 is an abundant number, since it is smaller than the sum of its proper divisors (29596505952).

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

12232816800 is a wasteful number, since it uses less digits than its factorization.

12232816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

It can be divided in two parts, 122328 and 16800, that added together give a triangular number (139128 = T₅₂₇).

The spelling of 12232816800 in words is "twelve billion, two hundred thirty-two million, eight hundred sixteen thousand, eight hundred".