12882216 has 64 divisors (see below), whose sum is σ = 33652800. Its totient is φ = 4105728.

The previous prime is 12882211. The next prime is 12882217. The reversal of 12882216 is 61228821.

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 (12882211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78951 + ... + 79113.

It is an arithmetic number, because the mean of its divisors is an integer number (525825).

Almost surely, 2^12882216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12882216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16826400).

12882216 is an abundant number, since it is smaller than the sum of its proper divisors (20770584).

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

12882216 is a wasteful number, since it uses less digits than its factorization.

12882216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 294 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 12882216 is about 3589.1804078369. The cubic root of 12882216 is about 234.4211860624.

The spelling of 12882216 in words is "twelve million, eight hundred eighty-two thousand, two hundred sixteen".