12268224 has 126 divisors (see below), whose sum is σ = 37741860. Its totient is φ = 3808512.

The previous prime is 12268211. The next prime is 12268229. The reversal of 12268224 is 42286221.

It is a happy number.

It is a super-2 number, since 2×12268224² = 301018640228352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12268229) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 207907 + ... + 207965.

Almost surely, 2^12268224 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 12268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18870930).

12268224 is an abundant number, since it is smaller than the sum of its proper divisors (25473636).

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

12268224 is a wasteful number, since it uses less digits than its factorization.

12268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 83 counting only the distinct ones).

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

The square root of 12268224 is about 3502.6024610281. The cubic root of 12268224 is about 230.6360716918.

The spelling of 12268224 in words is "twelve million, two hundred sixty-eight thousand, two hundred twenty-four".