122434202434221 has 12 divisors (see below), whose sum is σ = 178414442486748. Its totient is φ = 80900475944064.

The previous prime is 122434202434213. The next prime is 122434202434223.

122434202434221 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 3 + 420 + 2 + 4 + 3 + 4 + 221 = 666.

122434202434221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 67821895514025 + 54612306920196 = 8235405^2 + 7390014^2 .

It is not a de Polignac number, because 122434202434221 - 2³ = 122434202434213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122434202434223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60193805490 + ... + 60193807523.

It is an arithmetic number, because the mean of its divisors is an integer number (14867870207229).

Almost surely, 2^{122434202434221} is an apocalyptic number.

It is an amenable number.

122434202434221 is a deficient number, since it is larger than the sum of its proper divisors (55980240052527).

122434202434221 is a wasteful number, since it uses less digits than its factorization.

122434202434221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120387613132 (or 120387613129 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 12243420 and 2434221, that added together give a palindrome (14677641).

The spelling of 122434202434221 in words is "one hundred twenty-two trillion, four hundred thirty-four billion, two hundred two million, four hundred thirty-four thousand, two hundred twenty-one".