122201442312241 has 24 divisors (see below), whose sum is σ = 131764765160000. Its totient is φ = 113014660853952.

The previous prime is 122201442312211. The next prime is 122201442312259. The reversal of 122201442312241 is 142213244102221.

It is not a de Polignac number, because 122201442312241 - 2²⁵ = 122201408757809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122201442312211) 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, 4867915 + ... + 16373743.

Almost surely, 2^{122201442312241} is an apocalyptic number.

It is an amenable number.

122201442312241 is a deficient number, since it is larger than the sum of its proper divisors (9563322847759).

122201442312241 is a wasteful number, since it uses less digits than its factorization.

122201442312241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11506153 (or 11506100 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 122201442312241 its reverse (142213244102221), we get a palindrome (264414686414462).

The spelling of 122201442312241 in words is "one hundred twenty-two trillion, two hundred one billion, four hundred forty-two million, three hundred twelve thousand, two hundred forty-one".