112601773320192 has 720 divisors, whose sum is σ = 374041503255420. Its totient is φ = 33709991657472.

The previous prime is 112601773320191. The next prime is 112601773320263. The reversal of 112601773320192 is 291023377106211.

112601773320192 is a `hidden beast` number, since 1 + 1 + 2 + 60 + 1 + 77 + 332 + 0 + 192 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41458351481856 + 71143421838336 = 6438816^2 + 8434656^2 .

It is not an unprimeable number, because it can be changed into a prime (112601773320191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1037243388 + ... + 1037351940.

Almost surely, 2^{112601773320192} is an apocalyptic number.

112601773320192 is a gapful number since it is divisible by the number (12) 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 112601773320192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187020751627710).

112601773320192 is an abundant number, since it is smaller than the sum of its proper divisors (261439729935228).

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

112601773320192 is a wasteful number, since it uses less digits than its factorization.

112601773320192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108650 (or 108608 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 112601773320192 in words is "one hundred twelve trillion, six hundred one billion, seven hundred seventy-three million, three hundred twenty thousand, one hundred ninety-two".