122111121 has 16 divisors (see below), whose sum is σ = 179379648. Its totient is φ = 73272000.

The previous prime is 122111111. The next prime is 122111131. The reversal of 122111121 is 121111221.

It is an interprime number because it is at equal distance from previous prime (122111111) and next prime (122111131).

It is not a de Polignac number, because 122111121 - 2⁵ = 122111089 is a prime.

It is a super-2 number, since 2×122111121² = 29822251743753282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122111097 and 122111106.

It is not an unprimeable number, because it can be changed into a prime (122111111) 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, 14986 + ... + 21651.

It is an arithmetic number, because the mean of its divisors is an integer number (11211228).

Almost surely, 2^122111121 is an apocalyptic number.

122111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122111121 is a deficient number, since it is larger than the sum of its proper divisors (57268527).

122111121 is a wasteful number, since it uses less digits than its factorization.

122111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36752.

The product of its digits is 8, while the sum is 12.

The square root of 122111121 is about 11050.3900836124. The cubic root of 122111121 is about 496.1181010503.

Adding to 122111121 its reverse (121111221), we get a palindrome (243222342).

It can be divided in two parts, 1 and 22111121, that added together give a palindrome (22111122).

The spelling of 122111121 in words is "one hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".