122112221 has 48 divisors (see below), whose sum is σ = 168542208. Its totient is φ = 85773600.

The previous prime is 122112209. The next prime is 122112229. The reversal of 122112221 is 122211221.

It is not a de Polignac number, because 122112221 - 2¹⁴ = 122095837 is a prime.

It is a super-2 number, since 2×122112221² = 29822789035105682, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122112196 and 122112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639236 + ... + 639426.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2^122112221 is an apocalyptic number.

122112221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112221 is a deficient number, since it is larger than the sum of its proper divisors (46429987).

122112221 is a wasteful number, since it uses less digits than its factorization.

122112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its digits is 32, while the sum is 14.

The square root of 122112221 is about 11050.4398554990. The cubic root of 122112221 is about 496.1195907542.

Adding to 122112221 its reverse (122211221), we get a palindrome (244323442).

The spelling of 122112221 in words is "one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-one".