111020120122120 has 256 divisors, whose sum is σ = 287230669332480. Its totient is φ = 38224923264000.

The previous prime is 111020120122073. The next prime is 111020120122133. The reversal of 111020120122120 is 21221021020111.

It is a junction number, because it is equal to n+sod(n) for n = 111020120122094 and 111020120122103.

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, 6201193089 + ... + 6201210991.

It is an arithmetic number, because the mean of its divisors is an integer number (1121994802080).

Almost surely, 2^{111020120122120} is an apocalyptic number.

111020120122120 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 111020120122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143615334666240).

111020120122120 is an abundant number, since it is smaller than the sum of its proper divisors (176210549210360).

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

111020120122120 is a wasteful number, since it uses less digits than its factorization.

111020120122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24116 (or 24112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 111020120122120 its reverse (21221021020111), we get a palindrome (132241141142231).

The spelling of 111020120122120 in words is "one hundred eleven trillion, twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred twenty".