12745200 has 240 divisors, whose sum is σ = 47358080. Its totient is φ = 2903040.

The previous prime is 12745199. The next prime is 12745217. The reversal of 12745200 is 254721.

12745200 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 (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 296379 + ... + 296421.

Almost surely, 2^12745200 is an apocalyptic number.

12745200 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 12745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23679040).

12745200 is an abundant number, since it is smaller than the sum of its proper divisors (34612880).

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

12745200 is a wasteful number, since it uses less digits than its factorization.

12745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 12745200 is about 3570.0420165595. The cubic root of 12745200 is about 233.5871161656.

Adding to 12745200 its reverse (254721), we get a palindrome (12999921).

The spelling of 12745200 in words is "twelve million, seven hundred forty-five thousand, two hundred".