212122112 has 40 divisors (see below), whose sum is σ = 431881956. Its totient is φ = 104046592.

The previous prime is 212122109. The next prime is 212122121. The reversal of 212122112 is 211221212.

It can be written as a sum of positive squares in 2 ways, for example, as 198697216 + 13424896 = 14096^2 + 3664^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23228 + ... + 31044.

Almost surely, 2^212122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215940978).

212122112 is an abundant number, since it is smaller than the sum of its proper divisors (219759844).

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

212122112 is an frugal number, since it uses more digits than its factorization.

212122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888 (or 7872 counting only the distinct ones).

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

The square root of 212122112 is about 14564.4125181897. The cubic root of 212122112 is about 596.3876582540.

Adding to 212122112 its reverse (211221212), we get a palindrome (423343324).

It can be divided in two parts, 21212 and 2112, that multiplied together give a palindrome (44799744).

The spelling of 212122112 in words is "two hundred twelve million, one hundred twenty-two thousand, one hundred twelve".