122112011 has 16 divisors (see below), whose sum is σ = 144752640. Its totient is φ = 100789920.

The previous prime is 122111971. The next prime is 122112017. The reversal of 122112011 is 110211221.

It is not a de Polignac number, because 122112011 - 2¹⁰ = 122110987 is a prime.

It is a super-2 number, since 2×122112011² = 29822686460928242, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122111983 and 122112001.

It is not an unprimeable number, because it can be changed into a prime (122112017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122726 + ... + 123716.

It is an arithmetic number, because the mean of its divisors is an integer number (9047040).

Almost surely, 2^122112011 is an apocalyptic number.

122112011 is a deficient number, since it is larger than the sum of its proper divisors (22640629).

122112011 is an equidigital number, since it uses as much as digits as its factorization.

122112011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634.

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 122112011 is about 11050.4303536107. The cubic root of 122112011 is about 496.1193063569.

Adding to 122112011 its reverse (110211221), we get a palindrome (232323232).

The spelling of 122112011 in words is "one hundred twenty-two million, one hundred twelve thousand, eleven".