2011112212120 has 128 divisors (see below), whose sum is σ = 5236306767360. Its totient is φ = 687035381760.

The previous prime is 2011112212079. The next prime is 2011112212237. The reversal of 2011112212120 is 212122111102.

It is a junction number, because it is equal to n+sod(n) for n = 2011112212094 and 2011112212103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3845797 + ... + 4337323.

It is an arithmetic number, because the mean of its divisors is an integer number (40908646620).

Almost surely, 2^{2011112212120} is an apocalyptic number.

2011112212120 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 2011112212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618153383680).

2011112212120 is an abundant number, since it is smaller than the sum of its proper divisors (3225194555240).

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

2011112212120 is a wasteful number, since it uses less digits than its factorization.

2011112212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492113 (or 492109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2011112212120 its reverse (212122111102), we get a palindrome (2223234323222).

The spelling of 2011112212120 in words is "two trillion, eleven billion, one hundred twelve million, two hundred twelve thousand, one hundred twenty".