111304131120 has 960 divisors, whose sum is σ = 482648275200. Its totient is φ = 22824861696.

The previous prime is 111304131089. The next prime is 111304131209. The reversal of 111304131120 is 21131403111.

It is a happy number.

111304131120 is a `hidden beast` number, since 1 + 1 + 130 + 413 + 1 + 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 = 111304131093 and 111304131102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118787292 + ... + 118788228.

It is an arithmetic number, because the mean of its divisors is an integer number (502758620).

Almost surely, 2^111304131120 is an apocalyptic number.

111304131120 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 111304131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241324137600).

111304131120 is an abundant number, since it is smaller than the sum of its proper divisors (371344144080).

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

111304131120 is a wasteful number, since it uses less digits than its factorization.

111304131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 111304131120 its reverse (21131403111), we get a palindrome (132435534231).

The spelling of 111304131120 in words is "one hundred eleven billion, three hundred four million, one hundred thirty-one thousand, one hundred twenty".