122434104221 has 24 divisors (see below), whose sum is σ = 145679640120. Its totient is φ = 102209310720.

The previous prime is 122434104203. The next prime is 122434104239. The reversal of 122434104221 is 122401434221.

It is an interprime number because it is at equal distance from previous prime (122434104203) and next prime (122434104239).

It can be written as a sum of positive squares in 4 ways, for example, as 22413084100 + 100021020121 = 149710^2 + 316261^2 .

It is not a de Polignac number, because 122434104221 - 2¹⁸ = 122433842077 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122434104251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101945 + ... + 505233.

It is an arithmetic number, because the mean of its divisors is an integer number (6069985005).

Almost surely, 2^122434104221 is an apocalyptic number.

122434104221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122434104221 is a deficient number, since it is larger than the sum of its proper divisors (23245535899).

122434104221 is a wasteful number, since it uses less digits than its factorization.

122434104221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403517 (or 403506 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 122434104221 its reverse (122401434221), we get a palindrome (244835538442).

The spelling of 122434104221 in words is "one hundred twenty-two billion, four hundred thirty-four million, one hundred four thousand, two hundred twenty-one".