11121110211120 has 320 divisors, whose sum is σ = 43297262131200. Its totient is φ = 2346431818752.

The previous prime is 11121110211077. The next prime is 11121110211143. The reversal of 11121110211120 is 2111201112111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11121110211120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4125844 + ... + 6266163.

It is an arithmetic number, because the mean of its divisors is an integer number (135303944160).

Almost surely, 2^{11121110211120} is an apocalyptic number.

11121110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121110211120 is an abundant number, since it is smaller than the sum of its proper divisors (32176151920080).

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

11121110211120 is a wasteful number, since it uses less digits than its factorization.

11121110211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10392057 (or 10392037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11121110211120 its reverse (2111201112111), we get a palindrome (13232311323231).

Subtracting from 11121110211120 its reverse (2111201112111), we obtain a palindrome (9009909099009).

The spelling of 11121110211120 in words is "eleven trillion, one hundred twenty-one billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".