12412200 has 96 divisors (see below), whose sum is σ = 39015360. Its totient is φ = 3264000.

The previous prime is 12412199. The next prime is 12412237. The reversal of 12412200 is 221421.

12412200 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 (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82125 + ... + 82275.

It is an arithmetic number, because the mean of its divisors is an integer number (406410).

Almost surely, 2^12412200 is an apocalyptic number.

12412200 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 12412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507680).

12412200 is an abundant number, since it is smaller than the sum of its proper divisors (26603160).

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

12412200 is a wasteful number, since it uses less digits than its factorization.

12412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 12412200 is about 3523.0952300498. The cubic root of 12412200 is about 231.5347891372.

Adding to 12412200 its reverse (221421), we get a palindrome (12633621).

The spelling of 12412200 in words is "twelve million, four hundred twelve thousand, two hundred".