11120010120 has 192 divisors, whose sum is σ = 37123107840. Its totient is φ = 2885414400.

The previous prime is 11120010103. The next prime is 11120010133. The reversal of 11120010120 is 2101002111.

It is a happy number.

11120010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3060705 + ... + 3064335.

It is an arithmetic number, because the mean of its divisors is an integer number (193349520).

Almost surely, 2^11120010120 is an apocalyptic number.

11120010120 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 11120010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561553920).

11120010120 is an abundant number, since it is smaller than the sum of its proper divisors (26003097720).

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

11120010120 is a wasteful number, since it uses less digits than its factorization.

11120010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11120010120 its reverse (2101002111), we get a palindrome (13221012231).

The spelling of 11120010120 in words is "eleven billion, one hundred twenty million, ten thousand, one hundred twenty".