12895200 has 180 divisors, whose sum is σ = 47262600. Its totient is φ = 3421440.

The previous prime is 12895193. The next prime is 12895213. The reversal of 12895200 is 259821.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64701 + ... + 64899.

It is an arithmetic number, because the mean of its divisors is an integer number (262570).

Almost surely, 2^12895200 is an apocalyptic number.

12895200 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 12895200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23631300).

12895200 is an abundant number, since it is smaller than the sum of its proper divisors (34367400).

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

12895200 is a wasteful number, since it uses less digits than its factorization.

12895200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 209 counting only the distinct ones).

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

The square root of 12895200 is about 3590.9887217868. The cubic root of 12895200 is about 234.4999174096.

The spelling of 12895200 in words is "twelve million, eight hundred ninety-five thousand, two hundred".