12212112 has 80 divisors (see below), whose sum is σ = 34908480. Its totient is φ = 3648000.

The previous prime is 12212111. The next prime is 12212113. The reversal of 12212112 is 21121221.

12212112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12212111) and next prime (12212113).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212111) 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, 53214 + ... + 53442.

It is an arithmetic number, because the mean of its divisors is an integer number (436356).

Almost surely, 2^12212112 is an apocalyptic number.

12212112 is a gapful number since it is divisible by the number (12) 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 12212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17454240).

12212112 is an abundant number, since it is smaller than the sum of its proper divisors (22696368).

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

12212112 is a wasteful number, since it uses less digits than its factorization.

12212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its digits is 16, while the sum is 12.

The square root of 12212112 is about 3494.5832369540. The cubic root of 12212112 is about 230.2839090115.

Adding to 12212112 its reverse (21121221), we get a palindrome (33333333).

It can be divided in two parts, 1221 and 2112, that multiplied together give a palindrome (2578752).

The spelling of 12212112 in words is "twelve million, two hundred twelve thousand, one hundred twelve".