12755200 has 54 divisors (see below), whose sum is σ = 31586954. Its totient is φ = 5099520.

The previous prime is 12755153. The next prime is 12755201. The reversal of 12755200 is 255721.

It can be written as a sum of positive squares in 3 ways, for example, as 1679616 + 11075584 = 1296^2 + 3328^2 .

It is not an unprimeable number, because it can be changed into a prime (12755201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5404 + ... + 7396.

Almost surely, 2^12755200 is an apocalyptic number.

12755200 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 12755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15793477).

12755200 is an abundant number, since it is smaller than the sum of its proper divisors (18831754).

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

12755200 is an equidigital number, since it uses as much as digits as its factorization.

12755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 12755200 is about 3571.4422856880. The cubic root of 12755200 is about 233.6481917212.

The spelling of 12755200 in words is "twelve million, seven hundred fifty-five thousand, two hundred".