242212320401 has 8 divisors (see below), whose sum is σ = 256468466664. Its totient is φ = 227957103360.

The previous prime is 242212320331. The next prime is 242212320403. The reversal of 242212320401 is 104023212242.

242212320401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 73530625 + 242138789776 = 8575^2 + 492076^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 242212320401 - 2²⁶ = 242145211537 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242212320403) 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 7 ways as a sum of consecutive naturals, for example, 345431 + ... + 777011.

It is an arithmetic number, because the mean of its divisors is an integer number (32058558333).

Almost surely, 2^242212320401 is an apocalyptic number.

It is an amenable number.

242212320401 is a deficient number, since it is larger than the sum of its proper divisors (14256146263).

242212320401 is a wasteful number, since it uses less digits than its factorization.

242212320401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464611.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 242212320401 its reverse (104023212242), we get a palindrome (346235532643).

The spelling of 242212320401 in words is "two hundred forty-two billion, two hundred twelve million, three hundred twenty thousand, four hundred one".