122345120235105 has 12 divisors (see below), whose sum is σ = 212064875074260. Its totient is φ = 65250730792032.

The previous prime is 122345120235089. The next prime is 122345120235109. The reversal of 122345120235105 is 501532021543221.

122345120235105 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 4 + 512 + 0 + 2 + 35 + 105 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45790110051921 + 76555010183184 = 6766839^2 + 8749572^2 .

It is not a de Polignac number, because 122345120235105 - 2⁴ = 122345120235089 is a prime.

It is a super-2 number, since 2×122345120235105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122345120235105.

It is not an unprimeable number, because it can be changed into a prime (122345120235109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1359390224790 + ... + 1359390224879.

It is an arithmetic number, because the mean of its divisors is an integer number (17672072922855).

Almost surely, 2^{122345120235105} is an apocalyptic number.

122345120235105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122345120235105 is a deficient number, since it is larger than the sum of its proper divisors (89719754839155).

122345120235105 is a wasteful number, since it uses less digits than its factorization.

122345120235105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718780449680 (or 2718780449677 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 122345120235105 its reverse (501532021543221), we get a palindrome (623877141778326).

The spelling of 122345120235105 in words is "one hundred twenty-two trillion, three hundred forty-five billion, one hundred twenty million, two hundred thirty-five thousand, one hundred five".