242414112321 has 12 divisors (see below), whose sum is σ = 350167269348. Its totient is φ = 161603153664.

The previous prime is 242414112221. The next prime is 242414112323. The reversal of 242414112321 is 123211414242.

242414112321 is a `hidden beast` number, since 2 + 4 + 2 + 414 + 11 + 232 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 137414783025 + 104999329296 = 370695^2 + 324036^2 .

It is not a de Polignac number, because 242414112321 - 2¹⁰ = 242414111297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242414112323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 269340 + ... + 746573.

It is an arithmetic number, because the mean of its divisors is an integer number (29180605779).

Almost surely, 2^242414112321 is an apocalyptic number.

It is an amenable number.

242414112321 is a deficient number, since it is larger than the sum of its proper divisors (107753157027).

242414112321 is a wasteful number, since it uses less digits than its factorization.

242414112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042432 (or 1042429 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 242414112321 its reverse (123211414242), we get a palindrome (365625526563).

The spelling of 242414112321 in words is "two hundred forty-two billion, four hundred fourteen million, one hundred twelve thousand, three hundred twenty-one".