12884700 has 72 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 3315200.

The previous prime is 12884699. The next prime is 12884737. The reversal of 12884700 is 748821.

12884700 is digitally balanced in base 2 and base 4, because in such bases 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7960 + ... + 9440.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^12884700 is an apocalyptic number.

12884700 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 12884700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

12884700 is an abundant number, since it is smaller than the sum of its proper divisors (25706580).

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

12884700 is a wasteful number, since it uses less digits than its factorization.

12884700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 12884700 is about 3589.5264311605. The cubic root of 12884700 is about 234.4362524351.

The spelling of 12884700 in words is "twelve million, eight hundred eighty-four thousand, seven hundred".