11121110221120 has 56 divisors (see below), whose sum is σ = 26502882466824. Its totient is φ = 4444960413696.

The previous prime is 11121110221099. The next prime is 11121110221139. The reversal of 11121110221120 is 2112201112111.

It can be written as a sum of positive squares in 4 ways, for example, as 2066210754624 + 9054899466496 = 1437432^2 + 3009136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11121110221094 and 11121110221103.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 13198827 + ... + 14016106.

Almost surely, 2^{11121110221120} is an apocalyptic number.

11121110221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121110221120 is an abundant number, since it is smaller than the sum of its proper divisors (15381772245704).

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

11121110221120 is a wasteful number, since it uses less digits than its factorization.

11121110221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27216227 (or 27216217 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11121110221120 its reverse (2112201112111), we get a palindrome (13233311333231).

The spelling of 11121110221120 in words is "eleven trillion, one hundred twenty-one billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty".