12264384 has 56 divisors (see below), whose sum is σ = 35405568. Its totient is φ = 3715840.

The previous prime is 12264383. The next prime is 12264397. The reversal of 12264384 is 48346221.

It is a super-2 number, since 2×12264384² = 300830229798912, which contains 22 as substring.

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 (12264383) 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 7 ways as a sum of consecutive naturals, for example, 792 + ... + 5015.

Almost surely, 2^12264384 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 12264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702784).

12264384 is an abundant number, since it is smaller than the sum of its proper divisors (23141184).

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

12264384 is a wasteful number, since it uses less digits than its factorization.

12264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5823 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 12264384 is about 3502.0542542913. The cubic root of 12264384 is about 230.6120058630.

The spelling of 12264384 in words is "twelve million, two hundred sixty-four thousand, three hundred eighty-four".