112811424 has 96 divisors (see below), whose sum is σ = 325031616. Its totient is φ = 33976320.

The previous prime is 112811399. The next prime is 112811429. The reversal of 112811424 is 424118211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 112811394 and 112811403.

It is not an unprimeable number, because it can be changed into a prime (112811429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 334584 + ... + 334920.

It is an arithmetic number, because the mean of its divisors is an integer number (3385746).

Almost surely, 2^112811424 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 112811424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162515808).

112811424 is an abundant number, since it is smaller than the sum of its proper divisors (212220192).

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

112811424 is a wasteful number, since it uses less digits than its factorization.

112811424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 112811424 is about 10621.2722401791. The cubic root of 112811424 is about 483.1897286678.

Adding to 112811424 its reverse (424118211), we get a palindrome (536929635).

The spelling of 112811424 in words is "one hundred twelve million, eight hundred eleven thousand, four hundred twenty-four".