12322114400 has 72 divisors (see below), whose sum is σ = 30781014264. Its totient is φ = 4814208000.

The previous prime is 12322114381. The next prime is 12322114439. The reversal of 12322114400 is 441122321.

12322114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 144701 + ... + 213500.

It is an arithmetic number, because the mean of its divisors is an integer number (427514087).

Almost surely, 2^12322114400 is an apocalyptic number.

12322114400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12322114400 is an abundant number, since it is smaller than the sum of its proper divisors (18458899864).

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

12322114400 is a wasteful number, since it uses less digits than its factorization.

12322114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358264 (or 358251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12322114400 its reverse (441122321), we get a palindrome (12763236721).

The spelling of 12322114400 in words is "twelve billion, three hundred twenty-two million, one hundred fourteen thousand, four hundred".