11011000000120 has 256 divisors, whose sum is σ = 27918283530240. Its totient is φ = 3886712045568.

The previous prime is 11011000000111. The next prime is 11011000000127. The reversal of 11011000000120 is 2100000011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011000000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 186070777 + ... + 186129943.

It is an arithmetic number, because the mean of its divisors is an integer number (109055795040).

Almost surely, 2^{11011000000120} is an apocalyptic number.

11011000000120 is a gapful number since it is divisible by the number (10) 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 11011000000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959141765120).

11011000000120 is an abundant number, since it is smaller than the sum of its proper divisors (16907283530120).

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

11011000000120 is a wasteful number, since it uses less digits than its factorization.

11011000000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59454 (or 59450 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11011000000120 its reverse (2100000011011), we get a palindrome (13111000011131).

The spelling of 11011000000120 in words is "eleven trillion, eleven billion, one hundred twenty", and thus it is an aban number.