12884200 has 48 divisors (see below), whose sum is σ = 34238880. Its totient is φ = 4416960.

The previous prime is 12884197. The next prime is 12884203. The reversal of 12884200 is 248821.

It is an interprime number because it is at equal distance from previous prime (12884197) and next prime (12884203).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (12884203) 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, 3202 + ... + 6001.

It is an arithmetic number, because the mean of its divisors is an integer number (713310).

Almost surely, 2^12884200 is an apocalyptic number.

12884200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12884200 is an abundant number, since it is smaller than the sum of its proper divisors (21354680).

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

12884200 is a wasteful number, since it uses less digits than its factorization.

12884200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9226 (or 9217 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 12884200 is about 3589.4567834144. The cubic root of 12884200 is about 234.4332199071.

The spelling of 12884200 in words is "twelve million, eight hundred eighty-four thousand, two hundred".