12045264 has 80 divisors (see below), whose sum is σ = 38807040. Its totient is φ = 3127680.

The previous prime is 12045251. The next prime is 12045269. The reversal of 12045264 is 46254021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12045269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2067 + ... + 5325.

It is an arithmetic number, because the mean of its divisors is an integer number (485088).

Almost surely, 2^12045264 is an apocalyptic number.

12045264 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 12045264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19403520).

12045264 is an abundant number, since it is smaller than the sum of its proper divisors (26761776).

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

12045264 is a wasteful number, since it uses less digits than its factorization.

12045264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 12045264 is about 3470.6287614782. The cubic root of 12045264 is about 229.2303448093.

Adding to 12045264 its reverse (46254021), we get a palindrome (58299285).

The spelling of 12045264 in words is "twelve million, forty-five thousand, two hundred sixty-four".