111493120 has 60 divisors (see below), whose sum is σ = 267771924. Its totient is φ = 44564480.

The previous prime is 111493091. The next prime is 111493147. The reversal of 111493120 is 21394111.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 82591744 = 5376^2 + 9088^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111493091 and 111493100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 81240 + ... + 82600.

Almost surely, 2^111493120 is an apocalyptic number.

111493120 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 111493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133885962).

111493120 is an abundant number, since it is smaller than the sum of its proper divisors (156278804).

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

111493120 is an frugal number, since it uses more digits than its factorization.

111493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 111493120 is about 10559.0302585039. The cubic root of 111493120 is about 481.3001787224.

Subtracting from 111493120 its reverse (21394111), we obtain a palindrome (90099009).

The spelling of 111493120 in words is "one hundred eleven million, four hundred ninety-three thousand, one hundred twenty".