12278688 has 96 divisors (see below), whose sum is σ = 34546176. Its totient is φ = 3810048.

The previous prime is 12278683. The next prime is 12278729. The reversal of 12278688 is 88687221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12278683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147895 + ... + 147977.

It is an arithmetic number, because the mean of its divisors is an integer number (359856).

Almost surely, 2^12278688 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 12278688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273088).

12278688 is an abundant number, since it is smaller than the sum of its proper divisors (22267488).

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

12278688 is a wasteful number, since it uses less digits than its factorization.

12278688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 12278688 is about 3504.0958890989. The cubic root of 12278688 is about 230.7016255983.

The spelling of 12278688 in words is "twelve million, two hundred seventy-eight thousand, six hundred eighty-eight".