122132464231221 has 12 divisors (see below), whose sum is σ = 178160228351820. Its totient is φ = 80615487940800.

The previous prime is 122132464231189. The next prime is 122132464231277.

122132464231221 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 2 + 4 + 6 + 423 + 1 + 221 = 666.

122132464231221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 71548150800996 + 50584313430225 = 8458614^2 + 7112265^2 .

It is not a de Polignac number, because 122132464231221 - 2⁵ = 122132464231189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132464211221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67179572376 + ... + 67179574193.

It is an arithmetic number, because the mean of its divisors is an integer number (14846685695985).

Almost surely, 2^{122132464231221} is an apocalyptic number.

It is an amenable number.

122132464231221 is a deficient number, since it is larger than the sum of its proper divisors (56027764120599).

122132464231221 is a wasteful number, since it uses less digits than its factorization.

122132464231221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134359146676 (or 134359146673 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 122132464231221 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, four hundred sixty-four million, two hundred thirty-one thousand, two hundred twenty-one".