112049280 has 288 divisors, whose sum is σ = 451224540. Its totient is φ = 25546752.

The previous prime is 112049237. The next prime is 112049281. The reversal of 112049280 is 82940211.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 28224 = 10584^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×112049280² = 25110082297036800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112049281) 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 35 ways as a sum of consecutive naturals, for example, 282042 + ... + 282438.

Almost surely, 2^112049280 is an apocalyptic number.

112049280 is a gapful number since it is divisible by the number (10) 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 112049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225612270).

112049280 is an abundant number, since it is smaller than the sum of its proper divisors (339175260).

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

112049280 is a wasteful number, since it uses less digits than its factorization.

112049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112049280 is about 10585.3332493597. Note that the first 3 decimals coincide. The cubic root of 112049280 is about 482.0991399750.

Adding to 112049280 its reverse (82940211), we get a palindrome (194989491).

The spelling of 112049280 in words is "one hundred twelve million, forty-nine thousand, two hundred eighty".