112824144 has 40 divisors (see below), whose sum is σ = 323848320. Its totient is φ = 37607904.

The previous prime is 112824119. The next prime is 112824167. The reversal of 112824144 is 441428211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130152 + ... + 131015.

It is an arithmetic number, because the mean of its divisors is an integer number (8096208).

Almost surely, 2^112824144 is an apocalyptic number.

It is an amenable number.

112824144 is an abundant number, since it is smaller than the sum of its proper divisors (211024176).

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

112824144 is a wasteful number, since it uses less digits than its factorization.

112824144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261184 (or 261172 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 112824144 is about 10621.8710216233. The cubic root of 112824144 is about 483.2078885969.

The spelling of 112824144 in words is "one hundred twelve million, eight hundred twenty-four thousand, one hundred forty-four".