2011311120 has 640 divisors, whose sum is σ = 8359464960. Its totient is φ = 388177920.

The previous prime is 2011311119. The next prime is 2011311131. The reversal of 2011311120 is 211131102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011311096 and 2011311105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15353455 + ... + 15353585.

It is an arithmetic number, because the mean of its divisors is an integer number (13061664).

Almost surely, 2^2011311120 is an apocalyptic number.

2011311120 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 2011311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179732480).

2011311120 is an abundant number, since it is smaller than the sum of its proper divisors (6348153840).

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

2011311120 is a wasteful number, since it uses less digits than its factorization.

2011311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2011311120 is about 44847.6434163491. The cubic root of 2011311120 is about 1262.2917726054.

Adding to 2011311120 its reverse (211131102), we get a palindrome (2222442222).

The spelling of 2011311120 in words is "two billion, eleven million, three hundred eleven thousand, one hundred twenty".