12851200 has 72 divisors (see below), whose sum is σ = 31990140. Its totient is φ = 5120000.

The previous prime is 12851197. The next prime is 12851219. The reversal of 12851200 is 215821.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51075 + ... + 51325.

Almost surely, 2^12851200 is an apocalyptic number.

12851200 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 12851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995070).

12851200 is an abundant number, since it is smaller than the sum of its proper divisors (19138940).

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

12851200 is an equidigital number, since it uses as much as digits as its factorization.

12851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 12851200 is about 3584.8570403853. The cubic root of 12851200 is about 234.2328993438.

It can be divided in two parts, 1285 and 1200, that added together give a triangular number (2485 = T₇₀).

The spelling of 12851200 in words is "twelve million, eight hundred fifty-one thousand, two hundred".