13112352 has 72 divisors (see below), whose sum is σ = 40687920. Its totient is φ = 3972480.

The previous prime is 13112347. The next prime is 13112353. The reversal of 13112352 is 25321131.

13112352 is a `hidden beast` number, since 1 + 311 + 2 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (13112353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099 + ... + 5237.

It is an arithmetic number, because the mean of its divisors is an integer number (565110).

Almost surely, 2^13112352 is an apocalyptic number.

13112352 is a gapful number since it is divisible by the number (12) 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 13112352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20343960).

13112352 is an abundant number, since it is smaller than the sum of its proper divisors (27575568).

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

13112352 is a wasteful number, since it uses less digits than its factorization.

13112352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4155 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13112352 is about 3621.0981759682. The cubic root of 13112352 is about 235.8089040054.

Adding to 13112352 its reverse (25321131), we get a palindrome (38433483).

It can be divided in two parts, 1311 and 2352, that added together give a palindrome (3663).

The spelling of 13112352 in words is "thirteen million, one hundred twelve thousand, three hundred fifty-two".