112000320 has 280 divisors, whose sum is σ = 414909000. Its totient is φ = 28643328.

The previous prime is 112000309. The next prime is 112000327. The reversal of 112000320 is 23000211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 110502144 = 1224^2 + 10512^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112000327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 751606 + ... + 751754.

Almost surely, 2^112000320 is an apocalyptic number.

112000320 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 112000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207454500).

112000320 is an abundant number, since it is smaller than the sum of its proper divisors (302908680).

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

112000320 is a wasteful number, since it uses less digits than its factorization.

112000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112000320 is about 10583.0203628265. The cubic root of 112000320 is about 482.0289119093.

112000320 divided by its product of nonzero digits (12) gives a triangular number (9333360 = T₄₃₂₀).

Adding to 112000320 its reverse (23000211), we get a palindrome (135000531).

The spelling of 112000320 in words is "one hundred twelve million, three hundred twenty", and thus it is an aban number.