122111122009 has 8 divisors (see below), whose sum is σ = 132447645288. Its totient is φ = 112124989440.

The previous prime is 122111121989. The next prime is 122111122019. The reversal of 122111122009 is 900221111221.

It can be written as a sum of positive squares in 4 ways, for example, as 10820160400 + 111290961609 = 104020^2 + 333603^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 122111122009 - 2¹¹ = 122111119961 is a prime.

It is a super-2 number, since 2×122111122009² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122111122019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87596952 + ... + 87598345.

It is an arithmetic number, because the mean of its divisors is an integer number (16555955661).

Almost surely, 2^122111122009 is an apocalyptic number.

It is an amenable number.

122111122009 is a deficient number, since it is larger than the sum of its proper divisors (10336523279).

122111122009 is a wasteful number, since it uses less digits than its factorization.

122111122009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175195355.

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 122111122009 in words is "one hundred twenty-two billion, one hundred eleven million, one hundred twenty-two thousand, nine".