112015120 has 80 divisors (see below), whose sum is σ = 299052288. Its totient is φ = 38223360.

The previous prime is 112015073. The next prime is 112015151. The reversal of 112015120 is 21510211.

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

It is a super-2 number, since 2×112015120² = 25094774217228800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112015120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177205 + ... + 177835.

Almost surely, 2^112015120 is an apocalyptic number.

112015120 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 112015120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149526144).

112015120 is an abundant number, since it is smaller than the sum of its proper divisors (187037168).

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

112015120 is a wasteful number, since it uses less digits than its factorization.

112015120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 112015120 is about 10583.7195730046. The cubic root of 112015120 is about 482.0501431394.

Adding to 112015120 its reverse (21510211), we get a palindrome (133525331).

The spelling of 112015120 in words is "one hundred twelve million, fifteen thousand, one hundred twenty".