12505200 has 120 divisors (see below), whose sum is σ = 42483888. Its totient is φ = 3133440.

The previous prime is 12505189. The next prime is 12505219. The reversal of 12505200 is 250521.

12505200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12505200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20094 + ... + 20706.

Almost surely, 2^12505200 is an apocalyptic number.

12505200 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 12505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241944).

12505200 is an abundant number, since it is smaller than the sum of its proper divisors (29978688).

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

12505200 is a wasteful number, since it uses less digits than its factorization.

12505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 12505200 is about 3536.2692205204. The cubic root of 12505200 is about 232.1116189017. Note that the first 3 decimals are identical.

Adding to 12505200 its reverse (250521), we get a palindrome (12755721).

The spelling of 12505200 in words is "twelve million, five hundred five thousand, two hundred".