12951200 has 36 divisors (see below), whose sum is σ = 31619070. Its totient is φ = 5180160.

The previous prime is 12951199. The next prime is 12951209. The reversal of 12951200 is 215921.

It can be written as a sum of positive squares in 3 ways, for example, as 9461776 + 3489424 = 3076^2 + 1868^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (12951209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7295 + ... + 8894.

Almost surely, 2^12951200 is an apocalyptic number.

12951200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12951200 is an abundant number, since it is smaller than the sum of its proper divisors (18667870).

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

12951200 is a wasteful number, since it uses less digits than its factorization.

12951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16209 (or 16196 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 12951200 is about 3598.7775702313. Note that the first 3 decimals coincide. The cubic root of 12951200 is about 234.8388815632.

The spelling of 12951200 in words is "twelve million, nine hundred fifty-one thousand, two hundred".