12384192 has 56 divisors (see below), whose sum is σ = 33412176. Its totient is φ = 4046848.

The previous prime is 12384187. The next prime is 12384199. The reversal of 12384192 is 29148321.

It is a super-2 number, since 2×12384192² = 306736422985728, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12384199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9568 + ... + 10784.

It is an arithmetic number, because the mean of its divisors is an integer number (596646).

Almost surely, 2^12384192 is an apocalyptic number.

12384192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12384192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706088).

12384192 is an abundant number, since it is smaller than the sum of its proper divisors (21027984).

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

12384192 is a wasteful number, since it uses less digits than its factorization.

12384192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 12384192 is about 3519.1180713355. The cubic root of 12384192 is about 231.3605060355.

The spelling of 12384192 in words is "twelve million, three hundred eighty-four thousand, one hundred ninety-two".