112252320 has 144 divisors (see below), whose sum is σ = 386535240. Its totient is φ = 29663232.

The previous prime is 112252313. The next prime is 112252337. The reversal of 112252320 is 23252211.

112252320 is a `hidden beast` number, since 1 + 122 + 523 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 76108176 + 36144144 = 8724^2 + 6012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×112252320³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112252293 and 112252302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196996 + ... + 197564.

Almost surely, 2^112252320 is an apocalyptic number.

112252320 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 112252320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193267620).

112252320 is an abundant number, since it is smaller than the sum of its proper divisors (274282920).

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

112252320 is a wasteful number, since it uses less digits than its factorization.

112252320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 112252320 is about 10594.9195372122. The cubic root of 112252320 is about 482.3901617590.

The spelling of 112252320 in words is "one hundred twelve million, two hundred fifty-two thousand, three hundred twenty".