12800200 has 96 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 4262400.

The previous prime is 12800191. The next prime is 12800209. The reversal of 12800200 is 200821.

It is an interprime number because it is at equal distance from previous prime (12800191) and next prime (12800209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57289 + ... + 57511.

It is an arithmetic number, because the mean of its divisors is an integer number (364560).

Almost surely, 2^12800200 is an apocalyptic number.

12800200 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 12800200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

12800200 is an abundant number, since it is smaller than the sum of its proper divisors (22197560).

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

12800200 is a wasteful number, since it uses less digits than its factorization.

12800200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 12800200 is about 3577.7367147402. The cubic root of 12800200 is about 233.9226373914.

It can be divided in two parts, 12800 and 200, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 12800200 in words is "twelve million, eight hundred thousand, two hundred".