2112211112 has 64 divisors (see below), whose sum is σ = 4380480000. Its totient is φ = 946837440.

The previous prime is 2112211111. The next prime is 2112211139. The reversal of 2112211112 is 2111122112.

It is a super-2 number, since 2×2112211112² = 8922871563312553088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2112211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4232639 + ... + 4233137.

It is an arithmetic number, because the mean of its divisors is an integer number (68445000).

Almost surely, 2^2112211112 is an apocalyptic number.

2112211112 is a gapful number since it is divisible by the number (22) 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 2112211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190240000).

2112211112 is an abundant number, since it is smaller than the sum of its proper divisors (2268268888).

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

2112211112 is a wasteful number, since it uses less digits than its factorization.

2112211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1082 counting only the distinct ones).

The product of its digits is 16, while the sum is 14.

The square root of 2112211112 is about 45958.7979825408. The cubic root of 2112211112 is about 1283.0564798788.

Adding to 2112211112 its reverse (2111122112), we get a palindrome (4223333224).

It can be divided in two parts, 2112 and 211112, that multiplied together give a palindrome (445868544).

The spelling of 2112211112 in words is "two billion, one hundred twelve million, two hundred eleven thousand, one hundred twelve".