242112520 has 64 divisors (see below), whose sum is σ = 588409920. Its totient is φ = 89128704.

The previous prime is 242112499. The next prime is 242112527. The reversal of 242112520 is 25211242.

It is not an unprimeable number, because it can be changed into a prime (242112527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292347 + ... + 293173.

It is an arithmetic number, because the mean of its divisors is an integer number (9193905).

Almost surely, 2^242112520 is an apocalyptic number.

242112520 is a gapful number since it is divisible by the number (20) 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 242112520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294204960).

242112520 is an abundant number, since it is smaller than the sum of its proper divisors (346297400).

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

242112520 is a wasteful number, since it uses less digits than its factorization.

242112520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 242112520 is about 15559.9652955911. The cubic root of 242112520 is about 623.2645359234.

Adding to 242112520 its reverse (25211242), we get a palindrome (267323762).

It can be divided in two parts, 2421 and 12520, that added together give a palindrome (14941).

The spelling of 242112520 in words is "two hundred forty-two million, one hundred twelve thousand, five hundred twenty".