122233444332221 has 8 divisors (see below), whose sum is σ = 124812312131064. Its totient is φ = 119679020778240.

The previous prime is 122233444332217. The next prime is 122233444332227.

122233444332221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 61570936291225 + 60662508040996 = 7846715^2 + 7788614^2 .

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 122233444332221 - 2² = 122233444332217 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 (122233444332227) 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, 6111051110 + ... + 6111071111.

It is an arithmetic number, because the mean of its divisors is an integer number (15601539016383).

Almost surely, 2^{122233444332221} is an apocalyptic number.

It is an amenable number.

122233444332221 is a deficient number, since it is larger than the sum of its proper divisors (2578867798843).

122233444332221 is a wasteful number, since it uses less digits than its factorization.

122233444332221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12222122431.

The product of its digits is 331776, while the sum is 38.

The spelling of 122233444332221 in words is "one hundred twenty-two trillion, two hundred thirty-three billion, four hundred forty-four million, three hundred thirty-two thousand, two hundred twenty-one".