122105331 has 12 divisors (see below), whose sum is σ = 176470320. Its totient is φ = 81359280.

The previous prime is 122105327. The next prime is 122105353. The reversal of 122105331 is 133501221.

122105331 is a `hidden beast` number, since 122 + 10 + 533 + 1 = 666.

It is not a de Polignac number, because 122105331 - 2² = 122105327 is a prime.

It is a super-2 number, since 2×122105331² = 29819423717239122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122105371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29266 + ... + 33176.

It is an arithmetic number, because the mean of its divisors is an integer number (14705860).

Almost surely, 2^122105331 is an apocalyptic number.

122105331 is a deficient number, since it is larger than the sum of its proper divisors (54364989).

122105331 is a wasteful number, since it uses less digits than its factorization.

122105331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7383 counting only the distinct ones).

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

The square root of 122105331 is about 11050.1280988050. The cubic root of 122105331 is about 496.1102596427.

Adding to 122105331 its reverse (133501221), we get a palindrome (255606552).

The spelling of 122105331 in words is "one hundred twenty-two million, one hundred five thousand, three hundred thirty-one".