12859200 has 252 divisors, whose sum is σ = 49133760. Its totient is φ = 3179520.

The previous prime is 12859183. The next prime is 12859201. The reversal of 12859200 is 295821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12859201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273577 + ... + 273623.

Almost surely, 2^12859200 is an apocalyptic number.

12859200 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 12859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24566880).

12859200 is an abundant number, since it is smaller than the sum of its proper divisors (36274560).

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

12859200 is a wasteful number, since it uses less digits than its factorization.

12859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 12859200 is about 3585.9726713961. The cubic root of 12859200 is about 234.2814933661.

The spelling of 12859200 in words is "twelve million, eight hundred fifty-nine thousand, two hundred".