12645200 has 60 divisors (see below), whose sum is σ = 30778908. Its totient is φ = 4992000.

The previous prime is 12645197. The next prime is 12645257. The reversal of 12645200 is 254621.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 506944 + 12138256 = 712^2 + 3484^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40244 + ... + 40556.

Almost surely, 2^12645200 is an apocalyptic number.

12645200 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 12645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15389454).

12645200 is an abundant number, since it is smaller than the sum of its proper divisors (18133708).

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

12645200 is a wasteful number, since it uses less digits than its factorization.

12645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 12645200 is about 3556.0089988638. The cubic root of 12645200 is about 232.9745961362.

Adding to 12645200 its reverse (254621), we get a palindrome (12899821).

The spelling of 12645200 in words is "twelve million, six hundred forty-five thousand, two hundred".