111112111221120 has 1280 divisors, whose sum is σ = 418970149678080. Its totient is φ = 28007196180480.

The previous prime is 111112111221119. The next prime is 111112111221149. The reversal of 111112111221120 is 21122111211111.

111112111221120 is a `hidden beast` number, since 1 + 1 + 111 + 211 + 1 + 221 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 111112111221093 and 111112111221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36040255099 + ... + 36040258181.

It is an arithmetic number, because the mean of its divisors is an integer number (327320429436).

Almost surely, 2^{111112111221120} is an apocalyptic number.

111112111221120 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 111112111221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209485074839040).

111112111221120 is an abundant number, since it is smaller than the sum of its proper divisors (307858038456960).

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

111112111221120 is a wasteful number, since it uses less digits than its factorization.

111112111221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3464 counting only the distinct ones).

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

Adding to 111112111221120 its reverse (21122111211111), we get a palindrome (132234222432231).

The spelling of 111112111221120 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty".