242212321 has 24 divisors (see below), whose sum is σ = 275444280. Its totient is φ = 212599296.

The previous prime is 242212309. The next prime is 242212339. The reversal of 242212321 is 123212242.

It can be written as a sum of positive squares in 12 ways, for example, as 33814225 + 208398096 = 5815^2 + 14436^2 .

It is not a de Polignac number, because 242212321 - 2⁷ = 242212193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (242212351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 357435 + ... + 358111.

It is an arithmetic number, because the mean of its divisors is an integer number (11476845).

Almost surely, 2^242212321 is an apocalyptic number.

It is an amenable number.

242212321 is a deficient number, since it is larger than the sum of its proper divisors (33231959).

242212321 is a wasteful number, since it uses less digits than its factorization.

242212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 242212321 is about 15563.1719453330. The cubic root of 242212321 is about 623.3501626107.

Adding to 242212321 its reverse (123212242), we get a palindrome (365424563).

The spelling of 242212321 in words is "two hundred forty-two million, two hundred twelve thousand, three hundred twenty-one".