12232400 has 60 divisors (see below), whose sum is σ = 29994732. Its totient is φ = 4792320.

The previous prime is 12232397. The next prime is 12232421. The reversal of 12232400 is 423221.

12232400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1236544 + 10995856 = 1112^2 + 3316^2 .

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, 20912 + ... + 21488.

Almost surely, 2^12232400 is an apocalyptic number.

12232400 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 12232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997366).

12232400 is an abundant number, since it is smaller than the sum of its proper divisors (17762332).

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

12232400 is a wasteful number, since it uses less digits than its factorization.

12232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 637 counting only the distinct ones).

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

The square root of 12232400 is about 3497.4848105460. The cubic root of 12232400 is about 230.4113621261.

Adding to 12232400 its reverse (423221), we get a palindrome (12655621).

The spelling of 12232400 in words is "twelve million, two hundred thirty-two thousand, four hundred".