111134431120 has 80 divisors (see below), whose sum is σ = 263406609648. Its totient is φ = 43594629120.

The previous prime is 111134431063. The next prime is 111134431139. The reversal of 111134431120 is 21134431111.

It can be written as a sum of positive squares in 8 ways, for example, as 28659781264 + 82474649856 = 169292^2 + 287184^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 111134431091 and 111134431100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1610772 + ... + 1678348.

Almost surely, 2^111134431120 is an apocalyptic number.

111134431120 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 111134431120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131703304824).

111134431120 is an abundant number, since it is smaller than the sum of its proper divisors (152272178528).

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

111134431120 is a wasteful number, since it uses less digits than its factorization.

111134431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67988 (or 67982 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 111134431120 its reverse (21134431111), we get a palindrome (132268862231).

Subtracting from 111134431120 its reverse (21134431111), we obtain a palindrome (90000000009).

The spelling of 111134431120 in words is "one hundred eleven billion, one hundred thirty-four million, four hundred thirty-one thousand, one hundred twenty".