122212666212221 has 8 divisors (see below), whose sum is σ = 131614447306104. Its totient is φ = 112811000371200.

The previous prime is 122212666212193. The next prime is 122212666212227.

122212666212221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 40832240580121 + 81380425632100 = 6390011^2 + 9021110^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122212666212221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212666212227) 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 7 ways as a sum of consecutive naturals, for example, 26604596 + ... + 30858221.

It is an arithmetic number, because the mean of its divisors is an integer number (16451805913263).

Almost surely, 2^{122212666212221} is an apocalyptic number.

It is an amenable number.

122212666212221 is a deficient number, since it is larger than the sum of its proper divisors (9401781093883).

122212666212221 is a wasteful number, since it uses less digits than its factorization.

122212666212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57626431.

The product of its digits is 55296, while the sum is 38.

The spelling of 122212666212221 in words is "one hundred twenty-two trillion, two hundred twelve billion, six hundred sixty-six million, two hundred twelve thousand, two hundred twenty-one".