112182048 has 144 divisors (see below), whose sum is σ = 368667936. Its totient is φ = 31979520.

The previous prime is 112182041. The next prime is 112182107. The reversal of 112182048 is 840281211.

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

It is not an unprimeable number, because it can be changed into a prime (112182041) 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 23 ways as a sum of consecutive naturals, for example, 52815 + ... + 54897.

It is an arithmetic number, because the mean of its divisors is an integer number (2560194).

Almost surely, 2^112182048 is an apocalyptic number.

112182048 is a gapful number since it is divisible by the number (18) 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 112182048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184333968).

112182048 is an abundant number, since it is smaller than the sum of its proper divisors (256485888).

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

112182048 is a wasteful number, since it uses less digits than its factorization.

112182048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 112182048 is about 10591.6027115824. The cubic root of 112182048 is about 482.2894790661.

The spelling of 112182048 in words is "one hundred twelve million, one hundred eighty-two thousand, forty-eight".