122312332305 has 24 divisors (see below), whose sum is σ = 212471990952. Its totient is φ = 65090490624.

The previous prime is 122312332279. The next prime is 122312332349. The reversal of 122312332305 is 503233213221.

It is a happy number.

122312332305 is a `hidden beast` number, since 1 + 2 + 23 + 1 + 2 + 332 + 305 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32720468544 + 89591863761 = 180888^2 + 299319^2 .

It is not a de Polignac number, because 122312332305 - 2¹² = 122312328209 is a prime.

It is a super-2 number, since 2×122312332305² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2953234 + ... + 2994363.

It is an arithmetic number, because the mean of its divisors is an integer number (8852999623).

Almost surely, 2^122312332305 is an apocalyptic number.

122312332305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122312332305 is a deficient number, since it is larger than the sum of its proper divisors (90159658647).

122312332305 is a wasteful number, since it uses less digits than its factorization.

122312332305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5948065 (or 5948062 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 122312332305 its reverse (503233213221), we get a palindrome (625545545526).

The spelling of 122312332305 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred thirty-two thousand, three hundred five".