2011022120 has 64 divisors (see below), whose sum is σ = 4644818640. Its totient is φ = 783155200.

The previous prime is 2011022107. The next prime is 2011022171. The reversal of 2011022120 is 212201102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1185149476 + 825872644 = 34426^2 + 28738^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1050284 + ... + 1052196.

Almost surely, 2^2011022120 is an apocalyptic number.

2011022120 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 2011022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322409320).

2011022120 is an abundant number, since it is smaller than the sum of its proper divisors (2633796520).

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

2011022120 is a wasteful number, since it uses less digits than its factorization.

2011022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2606 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2011022120 is about 44844.4212806900. The cubic root of 2011022120 is about 1262.2313112489.

Adding to 2011022120 its reverse (212201102), we get a palindrome (2223223222).

The spelling of 2011022120 in words is "two billion, eleven million, twenty-two thousand, one hundred twenty".