111213120 has 224 divisors, whose sum is σ = 378049536. Its totient is φ = 27648000.

The previous prime is 111213103. The next prime is 111213143. The reversal of 111213120 is 21312111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111213096 and 111213105.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1101070 + ... + 1101170.

Almost surely, 2^111213120 is an apocalyptic number.

111213120 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 111213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189024768).

111213120 is an abundant number, since it is smaller than the sum of its proper divisors (266836416).

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

111213120 is a wasteful number, since it uses less digits than its factorization.

111213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 111213120 is about 10545.7631302813. The cubic root of 111213120 is about 480.8969340449.

Adding to 111213120 its reverse (21312111), we get a palindrome (132525231).

It can be divided in two parts, 11121 and 3120, that added together give a palindrome (14241).

The spelling of 111213120 in words is "one hundred eleven million, two hundred thirteen thousand, one hundred twenty".