242144112 has 80 divisors (see below), whose sum is σ = 716596992. Its totient is φ = 69020160.

The previous prime is 242144099. The next prime is 242144143. The reversal of 242144112 is 211441242.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255223 + ... + 256169.

Almost surely, 2^242144112 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 242144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358298496).

242144112 is an abundant number, since it is smaller than the sum of its proper divisors (474452880).

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

242144112 is a wasteful number, since it uses less digits than its factorization.

242144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1720 counting only the distinct ones).

The product of its digits is 512, while the sum is 21.

The square root of 242144112 is about 15560.9804318365. The cubic root of 242144112 is about 623.2916435906.

Adding to 242144112 its reverse (211441242), we get a palindrome (453585354).

The spelling of 242144112 in words is "two hundred forty-two million, one hundred forty-four thousand, one hundred twelve".