12123864 has 96 divisors (see below), whose sum is σ = 35456400. Its totient is φ = 3836160.

The previous prime is 12123857. The next prime is 12123877. The reversal of 12123864 is 46832121.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295684 + ... + 295724.

Almost surely, 2^12123864 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 12123864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728200).

12123864 is an abundant number, since it is smaller than the sum of its proper divisors (23332536).

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

12123864 is a wasteful number, since it uses less digits than its factorization.

12123864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12123864 is about 3481.9339453815. The cubic root of 12123864 is about 229.7278697056.

Adding to 12123864 its reverse (46832121), we get a palindrome (58955985).

The spelling of 12123864 in words is "twelve million, one hundred twenty-three thousand, eight hundred sixty-four".