12353152 has 64 divisors (see below), whose sum is σ = 29816640. Its totient is φ = 4976640.

The previous prime is 12353149. The next prime is 12353161. The reversal of 12353152 is 25135321.

12353152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14827 + ... + 15637.

It is an arithmetic number, because the mean of its divisors is an integer number (465885).

Almost surely, 2^12353152 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 12353152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14908320).

12353152 is an abundant number, since it is smaller than the sum of its proper divisors (17463488).

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

12353152 is an equidigital number, since it uses as much as digits as its factorization.

12353152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its digits is 900, while the sum is 22.

The square root of 12353152 is about 3514.7051085404. The cubic root of 12353152 is about 231.1670486997.

Adding to 12353152 its reverse (25135321), we get a palindrome (37488473).

The spelling of 12353152 in words is "twelve million, three hundred fifty-three thousand, one hundred fifty-two".