122112242211221 has 8 divisors (see below), whose sum is σ = 127426342916160. Its totient is φ = 116798547571552.

The previous prime is 122112242211187. The next prime is 122112242211257.

122112242211221 is nontrivially palindromic in base 10.

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

It is a cyclic number.

It is not a de Polignac number, because 122112242211221 - 2³⁸ = 121837364304277 is a prime.

It is a super-2 number, since 2×122112242211221² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112242211521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100901711 + ... + 102104748.

It is an arithmetic number, because the mean of its divisors is an integer number (15928292864520).

Almost surely, 2^{122112242211221} is an apocalyptic number.

It is an amenable number.

122112242211221 is a deficient number, since it is larger than the sum of its proper divisors (5314100704939).

122112242211221 is a wasteful number, since it uses less digits than its factorization.

122112242211221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203032635.

The product of its digits is 1024, while the sum is 26.

The spelling of 122112242211221 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred forty-two million, two hundred eleven thousand, two hundred twenty-one".