111120112011220 has 96 divisors (see below), whose sum is σ = 257467780424736. Its totient is φ = 40022653132800.

The previous prime is 111120112011203. The next prime is 111120112011257. The reversal of 111120112011220 is 22110211021111.

It can be written as a sum of positive squares in 16 ways, for example, as 28201495218064 + 82918616793156 = 5310508^2 + 9105966^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111120112011194 and 111120112011203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75780610 + ... + 77233030.

It is an arithmetic number, because the mean of its divisors is an integer number (2681956046091).

Almost surely, 2^{111120112011220} is an apocalyptic number.

111120112011220 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 111120112011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128733890212368).

111120112011220 is an abundant number, since it is smaller than the sum of its proper divisors (146347668413516).

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

111120112011220 is a wasteful number, since it uses less digits than its factorization.

111120112011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459661 (or 1459659 counting only the distinct ones).

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

Adding to 111120112011220 its reverse (22110211021111), we get a palindrome (133230323032331).

The spelling of 111120112011220 in words is "one hundred eleven trillion, one hundred twenty billion, one hundred twelve million, eleven thousand, two hundred twenty".