242311117920 has 96 divisors (see below), whose sum is σ = 763347981312. Its totient is φ = 64610545152.

The previous prime is 242311117913. The next prime is 242311117943. The reversal of 242311117920 is 29711113242.

242311117920 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 10549969 + ... + 10572911.

It is an arithmetic number, because the mean of its divisors is an integer number (7951541472).

Almost surely, 2^242311117920 is an apocalyptic number.

242311117920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242311117920 is an abundant number, since it is smaller than the sum of its proper divisors (521036863392).

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

242311117920 is a wasteful number, since it uses less digits than its factorization.

242311117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44964 (or 44956 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 242311117920 in words is "two hundred forty-two billion, three hundred eleven million, one hundred seventeen thousand, nine hundred twenty".