12235423325200 has 120 divisors (see below), whose sum is σ = 29690061980040. Its totient is φ = 4845155328000.

The previous prime is 12235423325179. The next prime is 12235423325201. The reversal of 12235423325200 is 252332453221.

It can be written as a sum of positive squares in 12 ways, for example, as 2074706067456 + 10160717257744 = 1440384^2 + 3187588^2 .

It is not an unprimeable number, because it can be changed into a prime (12235423325201) 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, 699598056 + ... + 699615544.

It is an arithmetic number, because the mean of its divisors is an integer number (247417183167).

Almost surely, 2^{12235423325200} is an apocalyptic number.

12235423325200 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 12235423325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14845030990020).

12235423325200 is an abundant number, since it is smaller than the sum of its proper divisors (17454638654840).

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

12235423325200 is a wasteful number, since it uses less digits than its factorization.

12235423325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34925 (or 34914 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 12235423325200 its reverse (252332453221), we get a palindrome (12487755778421).

The spelling of 12235423325200 in words is "twelve trillion, two hundred thirty-five billion, four hundred twenty-three million, three hundred twenty-five thousand, two hundred".