12024768 has 112 divisors (see below), whose sum is σ = 38039040. Its totient is φ = 3277824.

The previous prime is 12024721. The next prime is 12024811. The reversal of 12024768 is 86742021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30718 + ... + 31106.

Almost surely, 2^12024768 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 12024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19019520).

12024768 is an abundant number, since it is smaller than the sum of its proper divisors (26014272).

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

12024768 is a wasteful number, since it uses less digits than its factorization.

12024768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12024768 is about 3467.6747252302. The cubic root of 12024768 is about 229.1002529458.

Adding to 12024768 its reverse (86742021), we get a palindrome (98766789).

The spelling of 12024768 in words is "twelve million, twenty-four thousand, seven hundred sixty-eight".