242340144120 has 192 divisors, whose sum is σ = 796030092000. Its totient is φ = 63934424064.

The previous prime is 242340144091. The next prime is 242340144169. The reversal of 242340144120 is 21441043242.

242340144120 is a `hidden beast` number, since 2 + 4 + 234 + 0 + 14 + 412 + 0 = 666.

242340144120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31929286 + ... + 31936874.

Almost surely, 2^242340144120 is an apocalyptic number.

242340144120 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 242340144120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398015046000).

242340144120 is an abundant number, since it is smaller than the sum of its proper divisors (553689947880).

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

242340144120 is a wasteful number, since it uses less digits than its factorization.

242340144120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242340144120 its reverse (21441043242), we get a palindrome (263781187362).

The spelling of 242340144120 in words is "two hundred forty-two billion, three hundred forty million, one hundred forty-four thousand, one hundred twenty".