2212112111120 has 80 divisors (see below), whose sum is σ = 5371534949760. Its totient is φ = 845622868992.

The previous prime is 2212112111087. The next prime is 2212112111177. The reversal of 2212112111120 is 211112112122.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1544927 + ... + 2609793.

It is an arithmetic number, because the mean of its divisors is an integer number (67144186872).

Almost surely, 2^{2212112111120} is an apocalyptic number.

2212112111120 is a gapful number since it is divisible by the number (20) 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 2212112111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685767474880).

2212112111120 is an abundant number, since it is smaller than the sum of its proper divisors (3159422838640).

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

2212112111120 is a wasteful number, since it uses less digits than its factorization.

2212112111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066032 (or 1066026 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 2212112111120 its reverse (211112112122), we get a palindrome (2423224223242).

It can be divided in two parts, 2212112 and 111120, that added together give a palindrome (2323232).

The spelling of 2212112111120 in words is "two trillion, two hundred twelve billion, one hundred twelve million, one hundred eleven thousand, one hundred twenty".