12403200 has 240 divisors, whose sum is σ = 45666720. Its totient is φ = 2949120.

The previous prime is 12403199. The next prime is 12403243. The reversal of 12403200 is 230421.

It is a tau number, because it is divible by the number of its divisors (240).

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, 652791 + ... + 652809.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 2^12403200 is an apocalyptic number.

12403200 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 12403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833360).

12403200 is an abundant number, since it is smaller than the sum of its proper divisors (33263520).

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

12403200 is a wasteful number, since it uses less digits than its factorization.

12403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12403200 is about 3521.8177124888. The cubic root of 12403200 is about 231.4788141836.

Adding to 12403200 its reverse (230421), we get a palindrome (12633621).

The spelling of 12403200 in words is "twelve million, four hundred three thousand, two hundred".