122242262242221 has 72 divisors (see below), whose sum is σ = 198262435093632. Its totient is φ = 72491788828800.

The previous prime is 122242262242213. The next prime is 122242262242249.

122242262242221 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 2 + 2 + 622 + 4 + 2 + 2 + 21 = 666.

122242262242221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122242262242221 - 2³ = 122242262242213 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122242262242291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 205817401 + ... + 206410481.

It is an arithmetic number, because the mean of its divisors is an integer number (2753644931856).

Almost surely, 2^{122242262242221} is an apocalyptic number.

122242262242221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122242262242221 is a deficient number, since it is larger than the sum of its proper divisors (76020172851411).

122242262242221 is a wasteful number, since it uses less digits than its factorization.

122242262242221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597183 (or 597169 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The spelling of 122242262242221 in words is "one hundred twenty-two trillion, two hundred forty-two billion, two hundred sixty-two million, two hundred forty-two thousand, two hundred twenty-one".