242122324401 has 24 divisors (see below), whose sum is σ = 361834672680. Its totient is φ = 155830461696.

The previous prime is 242122324397. The next prime is 242122324403. The reversal of 242122324401 is 104423221242.

It is a happy number.

242122324401 is a `hidden beast` number, since 2 + 4 + 21 + 2 + 232 + 4 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5094533376 + 237027791025 = 71376^2 + 486855^2 .

It is not a de Polignac number, because 242122324401 - 2² = 242122324397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242122324403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2365971 + ... + 2466183.

It is an arithmetic number, because the mean of its divisors is an integer number (15076444695).

Almost surely, 2^242122324401 is an apocalyptic number.

It is an amenable number.

242122324401 is a deficient number, since it is larger than the sum of its proper divisors (119712348279).

242122324401 is a wasteful number, since it uses less digits than its factorization.

242122324401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109505 (or 109502 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242122324401 its reverse (104423221242), we get a palindrome (346545545643).

The spelling of 242122324401 in words is "two hundred forty-two billion, one hundred twenty-two million, three hundred twenty-four thousand, four hundred one".