2011011120 has 60 divisors (see below), whose sum is σ = 6753648096. Its totient is φ = 536269440.

The previous prime is 2011011109. The next prime is 2011011133. The reversal of 2011011120 is 211101102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1395816 + ... + 1397255.

Almost surely, 2^2011011120 is an apocalyptic number.

2011011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011011120 is an abundant number, since it is smaller than the sum of its proper divisors (4742636976).

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

2011011120 is a wasteful number, since it uses less digits than its factorization.

2011011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793090 (or 2793081 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2011011120 is about 44844.2986342746. The cubic root of 2011011120 is about 1262.2290098372.

Adding to 2011011120 its reverse (211101102), we get a palindrome (2222112222).

The spelling of 2011011120 in words is "two billion, eleven million, eleven thousand, one hundred twenty".