122112212220 has 144 divisors (see below), whose sum is σ = 392690258688. Its totient is φ = 30661079040.

The previous prime is 122112212213. The next prime is 122112212221. The reversal of 122112212220 is 22212211221.

It is a happy number.

122112212220 is a `hidden beast` number, since 1 + 221 + 1 + 221 + 2 + 220 = 666.

It is a super-2 number, since 2×122112212220² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122112212193 and 122112212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112212221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89269 + ... + 502188.

Almost surely, 2^122112212220 is an apocalyptic number.

122112212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196345129344).

122112212220 is an abundant number, since it is smaller than the sum of its proper divisors (270578046468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122112212220 is a wasteful number, since it uses less digits than its factorization.

122112212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591540 (or 591535 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112212220 its reverse (22212211221), we get a palindrome (144324423441).

Subtracting from 122112212220 its reverse (22212211221), we obtain a palindrome (99900000999).

The spelling of 122112212220 in words is "one hundred twenty-two billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty".