12288160 has 24 divisors (see below), whose sum is σ = 29031156. Its totient is φ = 4915200.

The previous prime is 12288137. The next prime is 12288169. The reversal of 12288160 is 6188221.

It can be written as a sum of positive squares in 2 ways, for example, as 11641744 + 646416 = 3412^2 + 804^2 .

It is not an unprimeable number, because it can be changed into a prime (12288169) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38241 + ... + 38560.

Almost surely, 2^12288160 is an apocalyptic number.

12288160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12288160 is an abundant number, since it is smaller than the sum of its proper divisors (16742996).

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

12288160 is an equidigital number, since it uses as much as digits as its factorization.

12288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76816 (or 76808 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12288160 is about 3505.4471897320. The cubic root of 12288160 is about 230.7609328070.

The spelling of 12288160 in words is "twelve million, two hundred eighty-eight thousand, one hundred sixty".