12286224 has 60 divisors (see below), whose sum is σ = 35239932. Its totient is φ = 3993600.

The previous prime is 12286181. The next prime is 12286231. The reversal of 12286224 is 42268221.

It is a happy number.

12286224 is a `hidden beast` number, since 12 + 28 + 622 + 4 = 666.

12286224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2250000 + 10036224 = 1500^2 + 3168^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4864 + ... + 6944.

Almost surely, 2^12286224 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 12286224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17619966).

12286224 is an abundant number, since it is smaller than the sum of its proper divisors (22953708).

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

12286224 is a wasteful number, since it uses less digits than its factorization.

12286224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2127 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 12286224 is about 3505.1710371963. The cubic root of 12286224 is about 230.7488133731.

The spelling of 12286224 in words is "twelve million, two hundred eighty-six thousand, two hundred twenty-four".