112921344 has 216 divisors, whose sum is σ = 365344560. Its totient is φ = 34283520.

The previous prime is 112921337. The next prime is 112921349. The reversal of 112921344 is 443129211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (112921349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3642609 + ... + 3642639.

It is an arithmetic number, because the mean of its divisors is an integer number (1691410).

Almost surely, 2^112921344 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 112921344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182672280).

112921344 is an abundant number, since it is smaller than the sum of its proper divisors (252423216).

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

112921344 is an equidigital number, since it uses as much as digits as its factorization.

112921344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 112921344 is about 10626.4455016718. The cubic root of 112921344 is about 483.3466128205.

The spelling of 112921344 in words is "one hundred twelve million, nine hundred twenty-one thousand, three hundred forty-four".