12822264 has 192 divisors, whose sum is σ = 45427200. Its totient is φ = 3172608.

The previous prime is 12822203. The next prime is 12822269. The reversal of 12822264 is 46222821.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12822269) 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 47 ways as a sum of consecutive naturals, for example, 124437 + ... + 124539.

It is an arithmetic number, because the mean of its divisors is an integer number (236600).

Almost surely, 2^12822264 is an apocalyptic number.

12822264 is a gapful number since it is divisible by the number (14) 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 12822264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22713600).

12822264 is an abundant number, since it is smaller than the sum of its proper divisors (32604936).

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

12822264 is a wasteful number, since it uses less digits than its factorization.

12822264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 147 counting only the distinct ones).

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

The square root of 12822264 is about 3580.8189007544. The cubic root of 12822264 is about 234.0569661877.

The spelling of 12822264 in words is "twelve million, eight hundred twenty-two thousand, two hundred sixty-four".