12278304 has 72 divisors (see below), whose sum is σ = 36232560. Its totient is φ = 4090176.

The previous prime is 12278269. The next prime is 12278317. The reversal of 12278304 is 40387221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 6987 + ... + 8565.

It is an arithmetic number, because the mean of its divisors is an integer number (503230).

Almost surely, 2^12278304 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 12278304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18116280).

12278304 is an abundant number, since it is smaller than the sum of its proper divisors (23954256).

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

12278304 is an equidigital number, since it uses as much as digits as its factorization.

12278304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 12278304 is about 3504.0410956494. The cubic root of 12278304 is about 230.6992206088.

The spelling of 12278304 in words is "twelve million, two hundred seventy-eight thousand, three hundred four".