122123412441 has 6 divisors (see below), whose sum is σ = 176400484650. Its totient is φ = 81415608288.

The previous prime is 122123412377. The next prime is 122123412451. The reversal of 122123412441 is 144214321221.

122123412441 is a `hidden beast` number, since 1 + 2 + 212 + 3 + 4 + 1 + 2 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 96596640000 + 25526772441 = 310800^2 + 159771^2 .

It is not a de Polignac number, because 122123412441 - 2⁶ = 122123412377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122123412451) 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 5 ways as a sum of consecutive naturals, for example, 6784634016 + ... + 6784634033.

It is an arithmetic number, because the mean of its divisors is an integer number (29400080775).

Almost surely, 2^122123412441 is an apocalyptic number.

It is an amenable number.

122123412441 is a deficient number, since it is larger than the sum of its proper divisors (54277072209).

122123412441 is a wasteful number, since it uses less digits than its factorization.

122123412441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13569268055 (or 13569268052 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 122123412441 its reverse (144214321221), we get a palindrome (266337733662).

The spelling of 122123412441 in words is "one hundred twenty-two billion, one hundred twenty-three million, four hundred twelve thousand, four hundred forty-one".