114122422442241 has 12 divisors (see below), whose sum is σ = 174540175500132. Its totient is φ = 71606225846016.

The previous prime is 114122422442177. The next prime is 114122422442243. The reversal of 114122422442241 is 142244224221411.

114122422442241 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 2 + 2 + 4 + 224 + 422 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 71529373910016 + 42593048532225 = 8457504^2 + 6526335^2 .

It is not a de Polignac number, because 114122422442241 - 2⁶ = 114122422442177 is a prime.

It is a super-2 number, since 2×114122422442241² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114122422442196 and 114122422442205.

It is not an unprimeable number, because it can be changed into a prime (114122422442243) 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 11 ways as a sum of consecutive naturals, for example, 372949092796 + ... + 372949093101.

It is an arithmetic number, because the mean of its divisors is an integer number (14545014625011).

Almost surely, 2^{114122422442241} is an apocalyptic number.

It is an amenable number.

114122422442241 is a deficient number, since it is larger than the sum of its proper divisors (60417753057891).

114122422442241 is a wasteful number, since it uses less digits than its factorization.

114122422442241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745898185920 (or 745898185917 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

Adding to 114122422442241 its reverse (142244224221411), we get a palindrome (256366646663652).

The spelling of 114122422442241 in words is "one hundred fourteen trillion, one hundred twenty-two billion, four hundred twenty-two million, four hundred forty-two thousand, two hundred forty-one".