12445200 has 90 divisors (see below), whose sum is σ = 43200794. Its totient is φ = 3317760.

The previous prime is 12445187. The next prime is 12445249. The reversal of 12445200 is 254421.

12445200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 12362256 = 288^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1872 + ... + 5328.

Almost surely, 2^12445200 is an apocalyptic number.

12445200 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 12445200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600397).

12445200 is an abundant number, since it is smaller than the sum of its proper divisors (30755594).

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

12445200 is a wasteful number, since it uses less digits than its factorization.

12445200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 12445200 is about 3527.7755030614. The cubic root of 12445200 is about 231.7397994414.

Adding to 12445200 its reverse (254421), we get a palindrome (12699621).

The spelling of 12445200 in words is "twelve million, four hundred forty-five thousand, two hundred".