12393200 has 30 divisors (see below), whose sum is σ = 29775624. Its totient is φ = 4957120.

The previous prime is 12393197. The next prime is 12393203. The reversal of 12393200 is 239321.

It is an interprime number because it is at equal distance from previous prime (12393197) and next prime (12393203).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12393203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15092 + ... + 15891.

Almost surely, 2^12393200 is an apocalyptic number.

12393200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12393200 is an abundant number, since it is smaller than the sum of its proper divisors (17382424).

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

12393200 is a wasteful number, since it uses less digits than its factorization.

12393200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31001 (or 30990 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 12393200 is about 3520.3977048055. The cubic root of 12393200 is about 231.4165880238.

The spelling of 12393200 in words is "twelve million, three hundred ninety-three thousand, two hundred".