122122303221221 has 8 divisors (see below), whose sum is σ = 122566897134360. Its totient is φ = 121677898385152.

The previous prime is 122122303221181. The next prime is 122122303221241.

122122303221221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 39989953185121 + 82132350036100 = 6323761^2 + 9062690^2 .

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-122122303221221 is a prime.

It is a super-3 number, since 3×122122303221221³ (a number of 43 digits) contains 333 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 (122122303221241) 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, 45975080 + ... + 48558753.

It is an arithmetic number, because the mean of its divisors is an integer number (15320862141795).

Almost surely, 2^{122122303221221} is an apocalyptic number.

It is an amenable number.

122122303221221 is a deficient number, since it is larger than the sum of its proper divisors (444593913139).

122122303221221 is an equidigital number, since it uses as much as digits as its factorization.

122122303221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94538535.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 12212230 and 3221221, that added together give a palindrome (15433451).

The spelling of 122122303221221 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, three hundred three million, two hundred twenty-one thousand, two hundred twenty-one".