12285200 has 30 divisors (see below), whose sum is σ = 29516154. Its totient is φ = 4913920.

The previous prime is 12285193. The next prime is 12285239. The reversal of 12285200 is 258221.

12285200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2650384 + 9634816 = 1628^2 + 3104^2 .

It is a super-2 number, since 2×12285200² = 301852278080000, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14957 + ... + 15756.

Almost surely, 2^12285200 is an apocalyptic number.

12285200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12285200 is an abundant number, since it is smaller than the sum of its proper divisors (17230954).

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

12285200 is a wasteful number, since it uses less digits than its factorization.

12285200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30731 (or 30720 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 12285200 is about 3505.0249642478. The cubic root of 12285200 is about 230.7424025792.

The spelling of 12285200 in words is "twelve million, two hundred eighty-five thousand, two hundred".