11311110120 has 128 divisors (see below), whose sum is σ = 36236160000. Its totient is φ = 2818314240.

The previous prime is 11311110043. The next prime is 11311110137. The reversal of 11311110120 is 2101111311.

11311110120 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 11311110096 and 11311110105.

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 31 ways as a sum of consecutive naturals, for example, 55456 + ... + 160304.

It is an arithmetic number, because the mean of its divisors is an integer number (283095000).

Almost surely, 2^11311110120 is an apocalyptic number.

11311110120 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 11311110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18118080000).

11311110120 is an abundant number, since it is smaller than the sum of its proper divisors (24925049880).

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

11311110120 is a wasteful number, since it uses less digits than its factorization.

11311110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104923 (or 104919 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11311110120 its reverse (2101111311), we get a palindrome (13412221431).

The spelling of 11311110120 in words is "eleven billion, three hundred eleven million, one hundred ten thousand, one hundred twenty".