12884100 has 72 divisors (see below), whose sum is σ = 37893408. Its totient is φ = 3379200.

The previous prime is 12884099. The next prime is 12884119. The reversal of 12884100 is 148821.

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, 19780 + ... + 20420.

Almost surely, 2^12884100 is an apocalyptic number.

12884100 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 12884100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946704).

12884100 is an abundant number, since it is smaller than the sum of its proper divisors (25009308).

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

12884100 is a wasteful number, since it uses less digits than its factorization.

12884100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 12884100 is about 3589.4428537031. The cubic root of 12884100 is about 234.4326133920.

The spelling of 12884100 in words is "twelve million, eight hundred eighty-four thousand, one hundred".