122331144522105 has 12 divisors (see below), whose sum is σ = 212040650505060. Its totient is φ = 65243277078432.

The previous prime is 122331144522091. The next prime is 122331144522127. The reversal of 122331144522105 is 501225441133221.

122331144522105 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 3 + 114 + 4 + 522 + 10 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 91656516735081 + 30674627787024 = 9573741^2 + 5538468^2 .

It is not a de Polignac number, because 122331144522105 - 2²⁰ = 122331143473529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122331144522105.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1359234939090 + ... + 1359234939179.

It is an arithmetic number, because the mean of its divisors is an integer number (17670054208755).

Almost surely, 2^{122331144522105} is an apocalyptic number.

122331144522105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122331144522105 is a deficient number, since it is larger than the sum of its proper divisors (89709505982955).

122331144522105 is a wasteful number, since it uses less digits than its factorization.

122331144522105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718469878280 (or 2718469878277 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 122331144522105 its reverse (501225441133221), we get a palindrome (623556585655326).

The spelling of 122331144522105 in words is "one hundred twenty-two trillion, three hundred thirty-one billion, one hundred forty-four million, five hundred twenty-two thousand, one hundred five".