2011113231120 has 240 divisors, whose sum is σ = 7734199479552. Its totient is φ = 458768563200.

The previous prime is 2011113231079. The next prime is 2011113231173. The reversal of 2011113231120 is 211323111102.

2011113231120 is a `hidden beast` number, since 201 + 1 + 1 + 132 + 311 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2011113231093 and 2011113231102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2138470 + ... + 2931770.

Almost surely, 2^{2011113231120} is an apocalyptic number.

2011113231120 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 2011113231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867099739776).

2011113231120 is an abundant number, since it is smaller than the sum of its proper divisors (5723086248432).

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

2011113231120 is a wasteful number, since it uses less digits than its factorization.

2011113231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793830 (or 793821 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2011113231120 its reverse (211323111102), we get a palindrome (2222436342222).

The spelling of 2011113231120 in words is "two trillion, eleven billion, one hundred thirteen million, two hundred thirty-one thousand, one hundred twenty".