242000112 has 160 divisors (see below), whose sum is σ = 699955200. Its totient is φ = 71698176.

The previous prime is 242000111. The next prime is 242000137. The reversal of 242000112 is 211000242.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242000111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1740939 + ... + 1741077.

It is an arithmetic number, because the mean of its divisors is an integer number (4374720).

Almost surely, 2^242000112 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 242000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349977600).

242000112 is an abundant number, since it is smaller than the sum of its proper divisors (457955088).

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

242000112 is a wasteful number, since it uses less digits than its factorization.

242000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

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

The square root of 242000112 is about 15556.3527859200. The cubic root of 242000112 is about 623.1680645731.

Adding to 242000112 its reverse (211000242), we get a palindrome (453000354).

The spelling of 242000112 in words is "two hundred forty-two million, one hundred twelve", and thus it is an aban number.