122345005332105 has 12 divisors (see below), whose sum is σ = 212064675909060. Its totient is φ = 65250669510432.

The previous prime is 122345005332097. The next prime is 122345005332119. The reversal of 122345005332105 is 501233500543221.

122345005332105 is a `hidden beast` number, since 1 + 2 + 23 + 450 + 0 + 53 + 32 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15951309100281 + 106393696231824 = 3993909^2 + 10314732^2 .

It is not a de Polignac number, because 122345005332105 - 2³ = 122345005332097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122345005332105.

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, 1359388948090 + ... + 1359388948179.

It is an arithmetic number, because the mean of its divisors is an integer number (17672056325755).

Almost surely, 2^{122345005332105} is an apocalyptic number.

122345005332105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122345005332105 is a deficient number, since it is larger than the sum of its proper divisors (89719670576955).

122345005332105 is a wasteful number, since it uses less digits than its factorization.

122345005332105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718777896280 (or 2718777896277 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 122345005332105 its reverse (501233500543221), we get a palindrome (623578505875326).

The spelling of 122345005332105 in words is "one hundred twenty-two trillion, three hundred forty-five billion, five million, three hundred thirty-two thousand, one hundred five".