112133241 has 60 divisors (see below), whose sum is σ = 195240276. Its totient is φ = 63866880.

The previous prime is 112133191. The next prime is 112133243. The reversal of 112133241 is 142331211.

It can be written as a sum of positive squares in 2 ways, for example, as 62726400 + 49406841 = 7920^2 + 7029^2 .

It is not a de Polignac number, because 112133241 - 2⁹ = 112132729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112133243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 166281 + ... + 166953.

Almost surely, 2^112133241 is an apocalyptic number.

112133241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112133241 is a deficient number, since it is larger than the sum of its proper divisors (83107035).

112133241 is a wasteful number, since it uses less digits than its factorization.

112133241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 704 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 112133241 is about 10589.2984186867. The cubic root of 112133241 is about 482.2195257549.

Adding to 112133241 its reverse (142331211), we get a palindrome (254464452).

The spelling of 112133241 in words is "one hundred twelve million, one hundred thirty-three thousand, two hundred forty-one".