122405205215241 has 16 divisors (see below), whose sum is σ = 195290355899520. Its totient is φ = 75326280132240.

The previous prime is 122405205215191. The next prime is 122405205215257. The reversal of 122405205215241 is 142512502504221.

It is a happy number.

122405205215241 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 5 + 2 + 0 + 521 + 52 + 41 = 666.

It is not a de Polignac number, because 122405205215241 - 2⁶ = 122405205215177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122405205215196 and 122405205215205.

It is not an unprimeable number, because it can be changed into a prime (122405205215291) 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 15 ways as a sum of consecutive naturals, for example, 174366388845 + ... + 174366389546.

It is an arithmetic number, because the mean of its divisors is an integer number (12205647243720).

Almost surely, 2^{122405205215241} is an apocalyptic number.

It is an amenable number.

122405205215241 is a deficient number, since it is larger than the sum of its proper divisors (72885150684279).

122405205215241 is a wasteful number, since it uses less digits than its factorization.

122405205215241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348732778413 (or 348732778407 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

Adding to 122405205215241 its reverse (142512502504221), we get a palindrome (264917707719462).

The spelling of 122405205215241 in words is "one hundred twenty-two trillion, four hundred five billion, two hundred five million, two hundred fifteen thousand, two hundred forty-one".