12132384 has 48 divisors (see below), whose sum is σ = 34745760. Its totient is φ = 3676160.

The previous prime is 12132371. The next prime is 12132401. The reversal of 12132384 is 48323121.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4689 + ... + 6800.

It is an arithmetic number, because the mean of its divisors is an integer number (723870).

Almost surely, 2^12132384 is an apocalyptic number.

It is an amenable number.

12132384 is an abundant number, since it is smaller than the sum of its proper divisors (22613376).

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

12132384 is a wasteful number, since it uses less digits than its factorization.

12132384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11513 (or 11505 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 12132384 is about 3483.1571885288. The cubic root of 12132384 is about 229.7816705713.

The spelling of 12132384 in words is "twelve million, one hundred thirty-two thousand, three hundred eighty-four".