12882 has 16 divisors (see below), whose sum is σ = 27360. Its totient is φ = 4032.

The previous prime is 12853. The next prime is 12889. The reversal of 12882 is 28821.

12882 is an undulating number in base 15.

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (12889) 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, 58 + ... + 170.

It is an arithmetic number, because the mean of its divisors is an integer number (1710).

2¹²⁸⁸² is an apocalyptic number.

It is a pronic number, being equal to 113×114.

12882 is an abundant number, since it is smaller than the sum of its proper divisors (14478).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13680).

12882 is a wasteful number, since it uses less digits than its factorization.

12882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137.

The product of its digits is 256, while the sum is 21.

The square root of 12882 is about 113.4988986731. The cubic root of 12882 is about 23.4419875852.

It can be divided in two parts, 128 and 82, that added together give a triangular number (210 = T₂₀).

The spelling of 12882 in words is "twelve thousand, eight hundred eighty-two".