12882980 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 4531200.

The previous prime is 12882977. The next prime is 12882983. The reversal of 12882980 is 8928821.

It is an interprime number because it is at equal distance from previous prime (12882977) and next prime (12882983).

It is a super-3 number, since 3×12882980³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12882983) 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, 5876 + ... + 7764.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^12882980 is an apocalyptic number.

12882980 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 12882980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

12882980 is an abundant number, since it is smaller than the sum of its proper divisors (17598940).

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

12882980 is a wasteful number, since it uses less digits than its factorization.

12882980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 38.

The square root of 12882980 is about 3589.2868372422. The cubic root of 12882980 is about 234.4258202093.

The spelling of 12882980 in words is "twelve million, eight hundred eighty-two thousand, nine hundred eighty".