12123264 has 64 divisors (see below), whose sum is σ = 32582880. Its totient is φ = 3993600.

The previous prime is 12123257. The next prime is 12123271. The reversal of 12123264 is 46232121.

It is an interprime number because it is at equal distance from previous prime (12123257) and next prime (12123271).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12123264.

It is an unprimeable number.

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, 50184 + ... + 50424.

Almost surely, 2^12123264 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 12123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291440).

12123264 is an abundant number, since it is smaller than the sum of its proper divisors (20459616).

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

12123264 is a wasteful number, since it uses less digits than its factorization.

12123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 12123264 is about 3481.8477853002. The cubic root of 12123264 is about 229.7240799623.

Adding to 12123264 its reverse (46232121), we get a palindrome (58355385).

The spelling of 12123264 in words is "twelve million, one hundred twenty-three thousand, two hundred sixty-four".