11120111122120 has 512 divisors, whose sum is σ = 34356665548800. Its totient is φ = 3127527936000.

The previous prime is 11120111122103. The next prime is 11120111122171. The reversal of 11120111122120 is 2122111102111.

It is a junction number, because it is equal to n+sod(n) for n = 11120111122094 and 11120111122103.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319461757 + ... + 319496563.

It is an arithmetic number, because the mean of its divisors is an integer number (67102862400).

Almost surely, 2^{11120111122120} is an apocalyptic number.

11120111122120 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 11120111122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17178332774400).

11120111122120 is an abundant number, since it is smaller than the sum of its proper divisors (23236554426680).

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

11120111122120 is a wasteful number, since it uses less digits than its factorization.

11120111122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35029 (or 35025 counting only the distinct ones).

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

Adding to 11120111122120 its reverse (2122111102111), we get a palindrome (13242222224231).

The spelling of 11120111122120 in words is "eleven trillion, one hundred twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred twenty".