12287200 has 36 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 4914560.

The previous prime is 12287173. The next prime is 12287201. The reversal of 12287200 is 278221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12287201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6880 + ... + 8479.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 2^12287200 is an apocalyptic number.

12287200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12287200 is an abundant number, since it is smaller than the sum of its proper divisors (17710880).

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

12287200 is a wasteful number, since it uses less digits than its factorization.

12287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15379 (or 15366 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 12287200 is about 3505.3102573096. The cubic root of 12287200 is about 230.7549233295.

The spelling of 12287200 in words is "twelve million, two hundred eighty-seven thousand, two hundred".