242083507120 has 80 divisors (see below), whose sum is σ = 692731287360. Its totient is φ = 76615437312.

The previous prime is 242083507067. The next prime is 242083507139. The reversal of 242083507120 is 21705380242.

It is a happy number.

242083507120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 16619335 + ... + 16633894.

It is an arithmetic number, because the mean of its divisors is an integer number (8659141092).

Almost surely, 2^242083507120 is an apocalyptic number.

242083507120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242083507120 is an abundant number, since it is smaller than the sum of its proper divisors (450647780240).

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

242083507120 is a wasteful number, since it uses less digits than its factorization.

242083507120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33253262 (or 33253256 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

Adding to 242083507120 its reverse (21705380242), we get a palindrome (263788887362).

The spelling of 242083507120 in words is "two hundred forty-two billion, eighty-three million, five hundred seven thousand, one hundred twenty".