12322108800 has 480 divisors, whose sum is σ = 45935196120. Its totient is φ = 3252510720.

The previous prime is 12322108783. The next prime is 12322108831. The reversal of 12322108800 is 880122321.

12322108800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 35510227 + ... + 35510573.

Almost surely, 2^12322108800 is an apocalyptic number.

12322108800 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 12322108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967598060).

12322108800 is an abundant number, since it is smaller than the sum of its proper divisors (33613087320).

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

12322108800 is a wasteful number, since it uses less digits than its factorization.

12322108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12322108800 in words is "twelve billion, three hundred twenty-two million, one hundred eight thousand, eight hundred".