12506880 has 72 divisors (see below), whose sum is σ = 39956112. Its totient is φ = 3334144.

The previous prime is 12506869. The next prime is 12506881. The reversal of 12506880 is 8860521.

12506880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12506881) 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, 2212 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (554946).

Almost surely, 2^12506880 is an apocalyptic number.

12506880 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 12506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978056).

12506880 is an abundant number, since it is smaller than the sum of its proper divisors (27449232).

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

12506880 is an equidigital number, since it uses as much as digits as its factorization.

12506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 12506880 is about 3536.5067510186. The cubic root of 12506880 is about 232.1220127128.

The spelling of 12506880 in words is "twelve million, five hundred six thousand, eight hundred eighty".