12123824 has 30 divisors (see below), whose sum is σ = 24803100. Its totient is φ = 5740128.

The previous prime is 12123817. The next prime is 12123857. The reversal of 12123824 is 42832121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 12123824.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4727 + ... + 6825.

It is an arithmetic number, because the mean of its divisors is an integer number (826770).

Almost surely, 2^12123824 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 12123824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12401550).

12123824 is an abundant number, since it is smaller than the sum of its proper divisors (12679276).

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

12123824 is a wasteful number, since it uses less digits than its factorization.

12123824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2120 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 12123824 is about 3481.9282014424. The cubic root of 12123824 is about 229.7276170599.

Adding to 12123824 its reverse (42832121), we get a palindrome (54955945).

The spelling of 12123824 in words is "twelve million, one hundred twenty-three thousand, eight hundred twenty-four".