12384144 has 80 divisors (see below), whose sum is σ = 36009600. Its totient is φ = 4074624.

The previous prime is 12384133. The next prime is 12384157. The reversal of 12384144 is 44148321.

It is a super-2 number, since 2×12384144² = 306734045225472, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 46957 + ... + 47219.

It is an arithmetic number, because the mean of its divisors is an integer number (450120).

Almost surely, 2^12384144 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 12384144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004800).

12384144 is an abundant number, since it is smaller than the sum of its proper divisors (23625456).

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

12384144 is a wasteful number, since it uses less digits than its factorization.

12384144 is an evil number, because the sum of its binary digits is even.

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

The product of its digits is 3072, while the sum is 27.

The square root of 12384144 is about 3519.1112514384. Note that the first 3 decimals coincide. The cubic root of 12384144 is about 231.3602071243.

The spelling of 12384144 in words is "twelve million, three hundred eighty-four thousand, one hundred forty-four".