2011120020 has 288 divisors, whose sum is σ = 7639107840. Its totient is φ = 416931840.

The previous prime is 2011120003. The next prime is 2011120049. The reversal of 2011120020 is 200211102.

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

It is a junction number, because it is equal to n+sod(n) for n = 2011119984 and 2011120011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 965380 + ... + 967460.

It is an arithmetic number, because the mean of its divisors is an integer number (26524680).

Almost surely, 2^2011120020 is an apocalyptic number.

2011120020 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 2011120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819553920).

2011120020 is an abundant number, since it is smaller than the sum of its proper divisors (5627987820).

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

2011120020 is a wasteful number, since it uses less digits than its factorization.

2011120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011120020 is about 44845.5128190101. The cubic root of 2011120020 is about 1262.2517934437.

Adding to 2011120020 its reverse (200211102), we get a palindrome (2211331122).

The spelling of 2011120020 in words is "two billion, eleven million, one hundred twenty thousand, twenty".