12047200 has 108 divisors (see below), whose sum is σ = 32974452. Its totient is φ = 4262400.

The previous prime is 12047177. The next prime is 12047219. The reversal of 12047200 is 274021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 325582 + ... + 325618.

It is an arithmetic number, because the mean of its divisors is an integer number (305319).

Almost surely, 2^12047200 is an apocalyptic number.

12047200 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 12047200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16487226).

12047200 is an abundant number, since it is smaller than the sum of its proper divisors (20927252).

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

12047200 is a wasteful number, since it uses less digits than its factorization.

12047200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 12047200 is about 3470.9076622693. The cubic root of 12047200 is about 229.2426253253.

The spelling of 12047200 in words is "twelve million, forty-seven thousand, two hundred".