2011120122112 has 72 divisors (see below), whose sum is σ = 4157120721600. Its totient is φ = 969878095872.

The previous prime is 2011120122073. The next prime is 2011120122149. The reversal of 2011120122112 is 2112210211102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7038939 + ... + 7319077.

It is an arithmetic number, because the mean of its divisors is an integer number (57737787800).

Almost surely, 2^{2011120122112} 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 2011120122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078560360800).

2011120122112 is an abundant number, since it is smaller than the sum of its proper divisors (2146000599488).

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

2011120122112 is an equidigital number, since it uses as much as digits as its factorization.

2011120122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281151 (or 281137 counting only the distinct ones).

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

Adding to 2011120122112 its reverse (2112210211102), we get a palindrome (4123330333214).

The spelling of 2011120122112 in words is "two trillion, eleven billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twelve".