12684288 has 44 divisors (see below), whose sum is σ = 33816440. Its totient is φ = 4227072.

The previous prime is 12684283. The next prime is 12684289. The reversal of 12684288 is 88248621.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (12684283) 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, 1008 + ... + 5136.

Almost surely, 2^12684288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12684288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16908220).

12684288 is an abundant number, since it is smaller than the sum of its proper divisors (21132152).

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

12684288 is an equidigital number, since it uses as much as digits as its factorization.

12684288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4134 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 12684288 is about 3561.5008072440. The cubic root of 12684288 is about 233.2144010674.

The spelling of 12684288 in words is "twelve million, six hundred eighty-four thousand, two hundred eighty-eight".