12612880 has 80 divisors (see below), whose sum is σ = 33997824. Its totient is φ = 4262400.

The previous prime is 12612851. The next prime is 12612881. The reversal of 12612880 is 8821621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (12612881) 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, 56449 + ... + 56671.

Almost surely, 2^12612880 is an apocalyptic number.

12612880 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 12612880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912).

12612880 is an abundant number, since it is smaller than the sum of its proper divisors (21384944).

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

12612880 is a wasteful number, since it uses less digits than its factorization.

12612880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 12612880 is about 3551.4616709180. The cubic root of 12612880 is about 232.7759393815.

The spelling of 12612880 in words is "twelve million, six hundred twelve thousand, eight hundred eighty".