12883600 has 60 divisors (see below), whose sum is σ = 31982080. Its totient is φ = 4982400.

The previous prime is 12883597. The next prime is 12883601. The reversal of 12883600 is 638821.

It is not an unprimeable number, because it can be changed into a prime (12883601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11881 + ... + 12919.

Almost surely, 2^12883600 is an apocalyptic number.

12883600 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 12883600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15991040).

12883600 is an abundant number, since it is smaller than the sum of its proper divisors (19098480).

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

12883600 is a wasteful number, since it uses less digits than its factorization.

12883600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 12883600 is about 3589.3732043353. The cubic root of 12883600 is about 234.4295807698.

It can be divided in two parts, 1 and 2883600, that added together give a triangular number (2883601 = T₂₄₀₁).

The spelling of 12883600 in words is "twelve million, eight hundred eighty-three thousand, six hundred".