112162320 has 200 divisors, whose sum is σ = 410509440. Its totient is φ = 28304640.

The previous prime is 112162307. The next prime is 112162327. The reversal of 112162320 is 23261211.

112162320 is a `hidden beast` number, since 1 + 1 + 21 + 623 + 20 = 666.

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 = 112162293 and 112162302.

It is not an unprimeable number, because it can be changed into a prime (112162327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122665 + ... + 123575.

Almost surely, 2^112162320 is an apocalyptic number.

112162320 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 112162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205254720).

112162320 is an abundant number, since it is smaller than the sum of its proper divisors (298347120).

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

112162320 is a wasteful number, since it uses less digits than its factorization.

112162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 112162320 is about 10590.6713668209. The cubic root of 112162320 is about 482.2612060794.

The spelling of 112162320 in words is "one hundred twelve million, one hundred sixty-two thousand, three hundred twenty".