12431200 has 72 divisors (see below), whose sum is σ = 31169880. Its totient is φ = 4838400.

The previous prime is 12431197. The next prime is 12431239. The reversal of 12431200 is 213421.

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, 32611 + ... + 32989.

It is an arithmetic number, because the mean of its divisors is an integer number (432915).

Almost surely, 2^12431200 is an apocalyptic number.

12431200 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 12431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940).

12431200 is an abundant number, since it is smaller than the sum of its proper divisors (18738680).

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

12431200 is a wasteful number, since it uses less digits than its factorization.

12431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12431200 is about 3525.7906914620. The cubic root of 12431200 is about 231.6528696877.

Adding to 12431200 its reverse (213421), we get a palindrome (12644621).

The spelling of 12431200 in words is "twelve million, four hundred thirty-one thousand, two hundred".