112124144 has 40 divisors (see below), whose sum is σ = 238615680. Its totient is φ = 50616000.

The previous prime is 112124141. The next prime is 112124167. The reversal of 112124144 is 441421211.

It is a super-3 number, since 3×112124144³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112124141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24467 + ... + 28685.

It is an arithmetic number, because the mean of its divisors is an integer number (5965392).

Almost surely, 2^112124144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119307840).

112124144 is an abundant number, since it is smaller than the sum of its proper divisors (126491536).

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

112124144 is a wasteful number, since it uses less digits than its factorization.

112124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4383 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 112124144 is about 10588.8688725472. The cubic root of 112124144 is about 482.2064851090.

Adding to 112124144 its reverse (441421211), we get a palindrome (553545355).

The spelling of 112124144 in words is "one hundred twelve million, one hundred twenty-four thousand, one hundred forty-four".