12805200 has 90 divisors (see below), whose sum is σ = 44450094. Its totient is φ = 3413760.

The previous prime is 12805193. The next prime is 12805217. The reversal of 12805200 is 250821.

It can be written as a sum of positive squares in 3 ways, for example, as 17424 + 12787776 = 132^2 + 3576^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1822 + ... + 5378.

Almost surely, 2^12805200 is an apocalyptic number.

12805200 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 12805200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22225047).

12805200 is an abundant number, since it is smaller than the sum of its proper divisors (31644894).

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

12805200 is a wasteful number, since it uses less digits than its factorization.

12805200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3581 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 12805200 is about 3578.4354122996. The cubic root of 12805200 is about 233.9530916273.

The spelling of 12805200 in words is "twelve million, eight hundred five thousand, two hundred".