12423200 has 72 divisors (see below), whose sum is σ = 31005828. Its totient is φ = 4858880.

The previous prime is 12423167. The next prime is 12423211. The reversal of 12423200 is 232421.

It can be written as a sum of positive squares in 6 ways, for example, as 9168784 + 3254416 = 3028^2 + 1804^2 .

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, 42254 + ... + 42546.

Almost surely, 2^12423200 is an apocalyptic number.

12423200 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 12423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502914).

12423200 is an abundant number, since it is smaller than the sum of its proper divisors (18582628).

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

12423200 is a wasteful number, since it uses less digits than its factorization.

12423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

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

The square root of 12423200 is about 3524.6560115847. The cubic root of 12423200 is about 231.6031662361.

Adding to 12423200 its reverse (232421), we get a palindrome (12655621).

The spelling of 12423200 in words is "twelve million, four hundred twenty-three thousand, two hundred".