2011220012112 has 160 divisors (see below), whose sum is σ = 5877252403200. Its totient is φ = 588839860224.

The previous prime is 2011220012111. The next prime is 2011220012141. The reversal of 2011220012112 is 2112100221102.

It is a junction number, because it is equal to n+sod(n) for n = 2011220012091 and 2011220012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011220012111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70689 + ... + 2006847.

It is an arithmetic number, because the mean of its divisors is an integer number (36732827520).

Almost surely, 2^{2011220012112} 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 2011220012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2938626201600).

2011220012112 is an abundant number, since it is smaller than the sum of its proper divisors (3866032391088).

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

2011220012112 is a wasteful number, since it uses less digits than its factorization.

2011220012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936273 (or 1936267 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2011220012112 its reverse (2112100221102), we get a palindrome (4123320233214).

The spelling of 2011220012112 in words is "two trillion, eleven billion, two hundred twenty million, twelve thousand, one hundred twelve".