122131305 has 12 divisors (see below), whose sum is σ = 211694340. Its totient is φ = 65136672.

The previous prime is 122131279. The next prime is 122131307. The reversal of 122131305 is 503131221.

It can be written as a sum of positive squares in 2 ways, for example, as 84713616 + 37417689 = 9204^2 + 6117^2 .

It is not a de Polignac number, because 122131305 - 2⁸ = 122131049 is a prime.

It is a super-2 number, since 2×122131305² = 29832111322006050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122131307) 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, 1356970 + ... + 1357059.

It is an arithmetic number, because the mean of its divisors is an integer number (17641195).

Almost surely, 2^122131305 is an apocalyptic number.

122131305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122131305 is a deficient number, since it is larger than the sum of its proper divisors (89563035).

122131305 is a wasteful number, since it uses less digits than its factorization.

122131305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714040 (or 2714037 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 122131305 is about 11051.3033168039. The cubic root of 122131305 is about 496.1454343403.

Adding to 122131305 its reverse (503131221), we get a palindrome (625262526).

The spelling of 122131305 in words is "one hundred twenty-two million, one hundred thirty-one thousand, three hundred five".