12253312 has 32 divisors (see below), whose sum is σ = 25260300. Its totient is φ = 5913600.

The previous prime is 12253279. The next prime is 12253321. The reversal of 12253312 is 21335221.

It can be written as a sum of positive squares in 2 ways, for example, as 11999296 + 254016 = 3464^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12253312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2062 + ... + 5362.

Almost surely, 2^12253312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12253312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12630150).

12253312 is an abundant number, since it is smaller than the sum of its proper divisors (13006988).

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

12253312 is an equidigital number, since it uses as much as digits as its factorization.

12253312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 3332 counting only the distinct ones).

The product of its digits is 360, while the sum is 19.

The square root of 12253312 is about 3500.4731108809. The cubic root of 12253312 is about 230.5425879214.

Adding to 12253312 its reverse (21335221), we get a palindrome (33588533).

The spelling of 12253312 in words is "twelve million, two hundred fifty-three thousand, three hundred twelve".