112229752320 has 480 divisors, whose sum is σ = 454567905792. Its totient is φ = 25054396416.

The previous prime is 112229752319. The next prime is 112229752331. The reversal of 112229752320 is 23257922211.

112229752320 is a `hidden beast` number, since 1 + 1 + 2 + 22 + 97 + 523 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6926949 + ... + 6943131.

Almost surely, 2^112229752320 is an apocalyptic number.

112229752320 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 112229752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227283952896).

112229752320 is an abundant number, since it is smaller than the sum of its proper divisors (342338153472).

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

112229752320 is a wasteful number, since it uses less digits than its factorization.

112229752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16262 (or 16243 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 112229752320 in words is "one hundred twelve billion, two hundred twenty-nine million, seven hundred fifty-two thousand, three hundred twenty".