112822320 has 80 divisors (see below), whose sum is σ = 376663392. Its totient is φ = 27770880.

The previous prime is 112822289. The next prime is 112822327. The reversal of 112822320 is 23228211.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (112822327) 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 15 ways as a sum of consecutive naturals, for example, 14961 + ... + 21200.

Almost surely, 2^112822320 is an apocalyptic number.

112822320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112822320 is an abundant number, since it is smaller than the sum of its proper divisors (263841072).

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

112822320 is a wasteful number, since it uses less digits than its factorization.

112822320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36190 (or 36184 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 112822320 is about 10621.7851606969. The cubic root of 112822320 is about 483.2052846154.

The spelling of 112822320 in words is "one hundred twelve million, eight hundred twenty-two thousand, three hundred twenty".