112267120 has 160 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 35804160.

The previous prime is 112267093. The next prime is 112267123. The reversal of 112267120 is 21762211.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 112267091 and 112267100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112267123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 503329 + ... + 503551.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 2^112267120 is an apocalyptic number.

112267120 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 112267120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

112267120 is an abundant number, since it is smaller than the sum of its proper divisors (207712400).

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

112267120 is a wasteful number, since it uses less digits than its factorization.

112267120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 112267120 is about 10595.6179621578. The cubic root of 112267120 is about 482.4113612040.

The spelling of 112267120 in words is "one hundred twelve million, two hundred sixty-seven thousand, one hundred twenty".