112384512 has 120 divisors (see below), whose sum is σ = 335932740. Its totient is φ = 36169728.

The previous prime is 112384477. The next prime is 112384549. The reversal of 112384512 is 215483211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

112384512 is a `hidden beast` number, since 112 + 38 + 4 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 13660416 = 9936^2 + 3696^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3875314 + ... + 3875342.

Almost surely, 2^112384512 is an apocalyptic number.

112384512 is a gapful number since it is divisible by the number (12) 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 112384512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167966370).

112384512 is an abundant number, since it is smaller than the sum of its proper divisors (223548228).

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

112384512 is an frugal number, since it uses more digits than its factorization.

112384512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 34 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 112384512 is about 10601.1561633626. The cubic root of 112384512 is about 482.5794469480.

It can be divided in two parts, 112384 and 512, that added together give a square (112896 = 336²).

The spelling of 112384512 in words is "one hundred twelve million, three hundred eighty-four thousand, five hundred twelve".