12955200 has 84 divisors (see below), whose sum is σ = 42519600. Its totient is φ = 3453440.

The previous prime is 12955183. The next prime is 12955213. The reversal of 12955200 is 255921.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3451 + ... + 6149.

Almost surely, 2^12955200 is an apocalyptic number.

12955200 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 12955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21259800).

12955200 is an abundant number, since it is smaller than the sum of its proper divisors (29564400).

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

12955200 is a wasteful number, since it uses less digits than its factorization.

12955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 12955200 is about 3599.3332715935. Note that the first 3 decimals coincide. The cubic root of 12955200 is about 234.8630558697.

The spelling of 12955200 in words is "twelve million, nine hundred fifty-five thousand, two hundred".