242002112 has 56 divisors (see below), whose sum is σ = 525840960. Its totient is φ = 109589760.

The previous prime is 242002087. The next prime is 242002141. The reversal of 242002112 is 211200242.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 266363 + ... + 267269.

Almost surely, 2^242002112 is an apocalyptic number.

242002112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262920480).

242002112 is an abundant number, since it is smaller than the sum of its proper divisors (283838848).

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

242002112 is a wasteful number, since it uses less digits than its factorization.

242002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 242002112 is about 15556.4170682069. The cubic root of 242002112 is about 623.1697812840.

Adding to 242002112 its reverse (211200242), we get a palindrome (453202354).

The spelling of 242002112 in words is "two hundred forty-two million, two thousand, one hundred twelve".