12880512 has 64 divisors (see below), whose sum is σ = 38025600. Its totient is φ = 4292352.

The previous prime is 12880501. The next prime is 12880513. The reversal of 12880512 is 21508821.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×12880512³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12880513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1593 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (594150).

Almost surely, 2^12880512 is an apocalyptic number.

12880512 is a gapful number since it is divisible by the number (12) 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 12880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19012800).

12880512 is an abundant number, since it is smaller than the sum of its proper divisors (25145088).

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

12880512 is an equidigital number, since it uses as much as digits as its factorization.

12880512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 12880512 is about 3588.9430198876. The cubic root of 12880512 is about 234.4108495562.

The spelling of 12880512 in words is "twelve million, eight hundred eighty thousand, five hundred twelve".