242312112 has 240 divisors, whose sum is σ = 815929920. Its totient is φ = 65691648.

The previous prime is 242312087. The next prime is 242312113. The reversal of 242312112 is 211213242.

It is a happy number.

242312112 is a `hidden beast` number, since 242 + 312 + 112 = 666.

242312112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (242312113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2722564 + ... + 2722652.

It is an arithmetic number, because the mean of its divisors is an integer number (3399708).

Almost surely, 2^242312112 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 242312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407964960).

242312112 is an abundant number, since it is smaller than the sum of its proper divisors (573617808).

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

242312112 is a wasteful number, since it uses less digits than its factorization.

242312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 242312112 is about 15566.3776133049. The cubic root of 242312112 is about 623.4357572039.

Adding to 242312112 its reverse (211213242), we get a palindrome (453525354).

It can be divided in two parts, 2423 and 12112, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 242312112 in words is "two hundred forty-two million, three hundred twelve thousand, one hundred twelve".