12382880 has 48 divisors (see below), whose sum is σ = 29479464. Its totient is φ = 4915200.

The previous prime is 12382859. The next prime is 12382891. The reversal of 12382880 is 8828321.

12382880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11587216 + 795664 = 3404^2 + 892^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30680 + ... + 31080.

Almost surely, 2^12382880 is an apocalyptic number.

12382880 is a gapful number since it is divisible by the number (10) 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 12382880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14739732).

12382880 is an abundant number, since it is smaller than the sum of its proper divisors (17096584).

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

12382880 is a wasteful number, since it uses less digits than its factorization.

12382880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 12382880 is about 3518.9316560570. The cubic root of 12382880 is about 231.3523355198.

The spelling of 12382880 in words is "twelve million, three hundred eighty-two thousand, eight hundred eighty".