12883280 has 40 divisors (see below), whose sum is σ = 31718952. Its totient is φ = 4849664.

The previous prime is 12883267. The next prime is 12883301. The reversal of 12883280 is 8238821.

It can be written as a sum of positive squares in 4 ways, for example, as 6370576 + 6512704 = 2524^2 + 2552^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3377 + ... + 6096.

Almost surely, 2^12883280 is an apocalyptic number.

12883280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12883280 is an abundant number, since it is smaller than the sum of its proper divisors (18835672).

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

12883280 is a wasteful number, since it uses less digits than its factorization.

12883280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9497 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 12883280 is about 3589.3286280306. The cubic root of 12883280 is about 234.4276398505.

The spelling of 12883280 in words is "twelve million, eight hundred eighty-three thousand, two hundred eighty".