111642120 has 48 divisors (see below), whose sum is σ = 362838060. Its totient is φ = 29771136.

The previous prime is 111642109. The next prime is 111642127. The reversal of 111642120 is 21246111.

111642120 is a `hidden beast` number, since 1 + 1 + 1 + 642 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111640356 + 1764 = 10566^2 + 42^2 .

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 = 111642093 and 111642102.

It is not an unprimeable number, because it can be changed into a prime (111642127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154699 + ... + 155418.

Almost surely, 2^111642120 is an apocalyptic number.

111642120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111642120 is an abundant number, since it is smaller than the sum of its proper divisors (251195940).

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

111642120 is a wasteful number, since it uses less digits than its factorization.

111642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310134 (or 310127 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 111642120 is about 10566.0834749684. The cubic root of 111642120 is about 481.5144873246.

Adding to 111642120 its reverse (21246111), we get a palindrome (132888231).

The spelling of 111642120 in words is "one hundred eleven million, six hundred forty-two thousand, one hundred twenty".