111120220010112 has 128 divisors (see below), whose sum is σ = 296799671400000. Its totient is φ = 36834979184640.

The previous prime is 111120220010077. The next prime is 111120220010141. The reversal of 111120220010112 is 211010022021111.

It is a happy number.

111120220010112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 111120220010091 and 111120220010100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100649958 + ... + 101747994.

Almost surely, 2^{111120220010112} is an apocalyptic number.

111120220010112 is a gapful number since it is divisible by the number (12) 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 111120220010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148399835700000).

111120220010112 is an abundant number, since it is smaller than the sum of its proper divisors (185679451389888).

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

111120220010112 is a wasteful number, since it uses less digits than its factorization.

111120220010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099514 (or 1099502 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 111120220010112 its reverse (211010022021111), we get a palindrome (322130242031223).

The spelling of 111120220010112 in words is "one hundred eleven trillion, one hundred twenty billion, two hundred twenty million, ten thousand, one hundred twelve".