111121220111112 has 160 divisors (see below), whose sum is σ = 322286545013400. Its totient is φ = 35728524389376.

The previous prime is 111121220111093. The next prime is 111121220111113. The reversal of 111121220111112 is 211111022121111.

It can be written as a sum of positive squares in 4 ways, for example, as 109936357382916 + 1184862728196 = 10485054^2 + 1088514^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (111121220111113) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16549978 + ... + 22274294.

Almost surely, 2^{111121220111112} is an apocalyptic number.

111121220111112 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 111121220111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161143272506700).

111121220111112 is an abundant number, since it is smaller than the sum of its proper divisors (211165324902288).

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

111121220111112 is a wasteful number, since it uses less digits than its factorization.

111121220111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5725397 (or 5725384 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 111121220111112 its reverse (211111022121111), we get a palindrome (322232242232223).

The spelling of 111121220111112 in words is "one hundred eleven trillion, one hundred twenty-one billion, two hundred twenty million, one hundred eleven thousand, one hundred twelve".