12513200 has 120 divisors (see below), whose sum is σ = 35518560. Its totient is φ = 4147200.

The previous prime is 12513187. The next prime is 12513203. The reversal of 12513200 is 231521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (12513203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114746 + ... + 114854.

It is an arithmetic number, because the mean of its divisors is an integer number (295988).

Almost surely, 2^12513200 is an apocalyptic number.

12513200 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 12513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759280).

12513200 is an abundant number, since it is smaller than the sum of its proper divisors (23005360).

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

12513200 is a wasteful number, since it uses less digits than its factorization.

12513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 12513200 is about 3537.4001752700. The cubic root of 12513200 is about 232.1611049054.

Adding to 12513200 its reverse (231521), we get a palindrome (12744721).

The spelling of 12513200 in words is "twelve million, five hundred thirteen thousand, two hundred".