122212484212221 has 48 divisors (see below), whose sum is σ = 190807502558400. Its totient is φ = 74931563427840.

The previous prime is 122212484212067. The next prime is 122212484212223.

122212484212221 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 2 + 4 + 8 + 421 + 2 + 221 = 666.

122212484212221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122212484212221 - 2³⁰ = 122211410470397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212484212223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34616950 + ... + 37983656.

It is an arithmetic number, because the mean of its divisors is an integer number (3975156303300).

Almost surely, 2^{122212484212221} is an apocalyptic number.

It is an amenable number.

122212484212221 is a deficient number, since it is larger than the sum of its proper divisors (68595018346179).

122212484212221 is a wasteful number, since it uses less digits than its factorization.

122212484212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367866 (or 3367863 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The spelling of 122212484212221 in words is "one hundred twenty-two trillion, two hundred twelve billion, four hundred eighty-four million, two hundred twelve thousand, two hundred twenty-one".