111101110110012 has 384 divisors, whose sum is σ = 314250967941120. Its totient is φ = 30157276631040.

The previous prime is 111101110109999. The next prime is 111101110110017. The reversal of 111101110110012 is 210011011101111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 111101110110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101110110017) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7956815343 + ... + 7956829305.

It is an arithmetic number, because the mean of its divisors is an integer number (818361895680).

Almost surely, 2^{111101110110012} is an apocalyptic number.

111101110110012 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 111101110110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157125483970560).

111101110110012 is an abundant number, since it is smaller than the sum of its proper divisors (203149857831108).

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

111101110110012 is a wasteful number, since it uses less digits than its factorization.

111101110110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16121 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 111101110110012 its reverse (210011011101111), we get a palindrome (321112121211123).

The spelling of 111101110110012 in words is "one hundred eleven trillion, one hundred one billion, one hundred ten million, one hundred ten thousand, twelve".