242117581512 has 64 divisors (see below), whose sum is σ = 606237768000. Its totient is φ = 80580132864.

The previous prime is 242117581469. The next prime is 242117581603. The reversal of 242117581512 is 215185711242.

242117581512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×242117581512² (a number of 24 digits) contains 22 as substring.

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, 72859483 + ... + 72862805.

It is an arithmetic number, because the mean of its divisors is an integer number (9472465125).

Almost surely, 2^242117581512 is an apocalyptic number.

It is an amenable number.

242117581512 is an abundant number, since it is smaller than the sum of its proper divisors (364120186488).

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

242117581512 is a wasteful number, since it uses less digits than its factorization.

242117581512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7146 counting only the distinct ones).

The product of its digits is 44800, while the sum is 39.

The spelling of 242117581512 in words is "two hundred forty-two billion, one hundred seventeen million, five hundred eighty-one thousand, five hundred twelve".