122114303411221 has 6 divisors (see below), whose sum is σ = 134224812840566. Its totient is φ = 111013003101000.

The previous prime is 122114303411207. The next prime is 122114303411231.

122114303411221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 75882653434225 + 46231649976996 = 8711065^2 + 6799386^2 .

It is not a de Polignac number, because 122114303411221 - 2¹¹ = 122114303409173 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122114303411221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122114303411231) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 504604559430 + ... + 504604559671.

Almost surely, 2^{122114303411221} is an apocalyptic number.

122114303411221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122114303411221 is a deficient number, since it is larger than the sum of its proper divisors (12110509429345).

122114303411221 is a wasteful number, since it uses less digits than its factorization.

122114303411221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009209119123 (or 1009209119112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

It can be divided in two parts, 12211430 and 3411221, that added together give a palindrome (15622651).

The spelling of 122114303411221 in words is "one hundred twenty-two trillion, one hundred fourteen billion, three hundred three million, four hundred eleven thousand, two hundred twenty-one".