12505600 has 60 divisors (see below), whose sum is σ = 31015314. Its totient is φ = 4997120.

The previous prime is 12505579. The next prime is 12505601. The reversal of 12505600 is 650521.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11614464 + 891136 = 3408^2 + 944^2 .

It is not an unprimeable number, because it can be changed into a prime (12505601) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12312 + ... + 13288.

Almost surely, 2^12505600 is an apocalyptic number.

12505600 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 12505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15507657).

12505600 is an abundant number, since it is smaller than the sum of its proper divisors (18509714).

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

12505600 is an frugal number, since it uses more digits than its factorization.

12505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 12505600 is about 3536.3257768481. The cubic root of 12505600 is about 232.1140937031.

The spelling of 12505600 in words is "twelve million, five hundred five thousand, six hundred".