12322400 has 72 divisors (see below), whose sum is σ = 30638664. Its totient is φ = 4838400.

The previous prime is 12322397. The next prime is 12322421. The reversal of 12322400 is 422321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58295 + ... + 58505.

It is an arithmetic number, because the mean of its divisors is an integer number (425537).

Almost surely, 2^12322400 is an apocalyptic number.

12322400 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 12322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15319332).

12322400 is an abundant number, since it is smaller than the sum of its proper divisors (18316264).

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

12322400 is a wasteful number, since it uses less digits than its factorization.

12322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12322400 is about 3510.3276200378. The cubic root of 12322400 is about 230.9750664917.

Adding to 12322400 its reverse (422321), we get a palindrome (12744721).

The spelling of 12322400 in words is "twelve million, three hundred twenty-two thousand, four hundred".