111101111222112 has 144 divisors (see below), whose sum is σ = 344675182754448. Its totient is φ = 33666101283840.

The previous prime is 111101111222063. The next prime is 111101111222161. The reversal of 111101111222112 is 211222111101111.

111101111222112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (111101111222063) and next prime (111101111222161).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122889358 + ... + 123790130.

It is an arithmetic number, because the mean of its divisors is an integer number (2393577658017).

Almost surely, 2^{111101111222112} is an apocalyptic number.

111101111222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111101111222112 is an abundant number, since it is smaller than the sum of its proper divisors (233574071532336).

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

111101111222112 is a wasteful number, since it uses less digits than its factorization.

111101111222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939733 (or 939722 counting only the distinct ones).

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

Adding to 111101111222112 its reverse (211222111101111), we get a palindrome (322323222323223).

The spelling of 111101111222112 in words is "one hundred eleven trillion, one hundred one billion, one hundred eleven million, two hundred twenty-two thousand, one hundred twelve".