12985200 has 90 divisors (see below), whose sum is σ = 45074744. Its totient is φ = 3461760.

The previous prime is 12985177. The next prime is 12985213. The reversal of 12985200 is 258921.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1797 + ... + 5403.

Almost surely, 2^12985200 is an apocalyptic number.

12985200 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 12985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22537372).

12985200 is an abundant number, since it is smaller than the sum of its proper divisors (32089544).

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

12985200 is a wasteful number, since it uses less digits than its factorization.

12985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3617 counting only the distinct ones).

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

The square root of 12985200 is about 3603.4983002632. The cubic root of 12985200 is about 235.0442047521.

The spelling of 12985200 in words is "twelve million, nine hundred eighty-five thousand, two hundred".