12288680 has 32 divisors (see below), whose sum is σ = 28045440. Its totient is φ = 4845120.

The previous prime is 12288673. The next prime is 12288701. The reversal of 12288680 is 8688221.

It is a super-2 number, since 2×12288680² = 302023312284800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 12288680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 677 + ... + 5003.

It is an arithmetic number, because the mean of its divisors is an integer number (876420).

Almost surely, 2^12288680 is an apocalyptic number.

12288680 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 12288680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022720).

12288680 is an abundant number, since it is smaller than the sum of its proper divisors (15756760).

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

12288680 is a wasteful number, since it uses less digits than its factorization.

12288680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4409 (or 4405 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 12288680 is about 3505.5213592275. The cubic root of 12288680 is about 230.7641878100.

The spelling of 12288680 in words is "twelve million, two hundred eighty-eight thousand, six hundred eighty".