112553120 has 48 divisors (see below), whose sum is σ = 270436320. Its totient is φ = 44254464.

The previous prime is 112553101. The next prime is 112553153. The reversal of 112553120 is 21355211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112553092 and 112553101.

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 7 ways as a sum of consecutive naturals, for example, 3479 + ... + 15401.

It is an arithmetic number, because the mean of its divisors is an integer number (5634090).

Almost surely, 2^112553120 is an apocalyptic number.

112553120 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 112553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135218160).

112553120 is an abundant number, since it is smaller than the sum of its proper divisors (157883200).

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

112553120 is a wasteful number, since it uses less digits than its factorization.

112553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11997 (or 11989 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 112553120 is about 10609.1055230872. The cubic root of 112553120 is about 482.8206607859.

It can be divided in two parts, 1125 and 53120, that added together give a palindrome (54245).

The spelling of 112553120 in words is "one hundred twelve million, five hundred fifty-three thousand, one hundred twenty".