12252320 has 48 divisors (see below), whose sum is σ = 29370600. Its totient is φ = 4829184.

The previous prime is 12252319. The next prime is 12252323. The reversal of 12252320 is 2325221.

12252320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11806096 + 446224 = 3436^2 + 668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11156 + ... + 12204.

Almost surely, 2^12252320 is an apocalyptic number.

12252320 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 12252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14685300).

12252320 is an abundant number, since it is smaller than the sum of its proper divisors (17118280).

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

12252320 is a wasteful number, since it uses less digits than its factorization.

12252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 12252320 is about 3500.3314128808. The cubic root of 12252320 is about 230.5363663540.

Adding to 12252320 its reverse (2325221), we get a palindrome (14577541).

The spelling of 12252320 in words is "twelve million, two hundred fifty-two thousand, three hundred twenty".