12382128 has 60 divisors (see below), whose sum is σ = 37807848. Its totient is φ = 3751680.

The previous prime is 12382127. The next prime is 12382133. The reversal of 12382128 is 82128321.

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

It is not an unprimeable number, because it can be changed into a prime (12382121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2325 + ... + 5492.

Almost surely, 2^12382128 is an apocalyptic number.

12382128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12382128 is an abundant number, since it is smaller than the sum of its proper divisors (25425720).

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

12382128 is a wasteful number, since it uses less digits than its factorization.

12382128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7842 (or 7833 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 12382128 is about 3518.8248038230. The cubic root of 12382128 is about 231.3476521592.

The spelling of 12382128 in words is "twelve million, three hundred eighty-two thousand, one hundred twenty-eight".