242112 has 56 divisors (see below), whose sum is σ = 696976. Its totient is φ = 73728.

The previous prime is 242101. The next prime is 242119. The reversal of 242112 is 211242.

242112 = T₅₃ + T₅₄ + ... + T₁₁₆.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242119) 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, 2448 + ... + 2544.

It is an arithmetic number, because the mean of its divisors is an integer number (12446).

2²⁴²¹¹² 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 242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348488).

242112 is an abundant number, since it is smaller than the sum of its proper divisors (454864).

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

242112 is a wasteful number, since it uses less digits than its factorization.

242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 115 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 242112 is about 492.0487780698. The cubic root of 242112 is about 62.3264089715.

Adding to 242112 its reverse (211242), we get a palindrome (453354).

The spelling of 242112 in words is "two hundred forty-two thousand, one hundred twelve", and thus it is an iban number.