112005312128 has 32 divisors (see below), whose sum is σ = 227345701860. Its totient is φ = 54945998848.

The previous prime is 112005312127. The next prime is 112005312137. The reversal of 112005312128 is 821213500211.

It can be written as a sum of positive squares in 2 ways, for example, as 88703900224 + 23301411904 = 297832^2 + 152648^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 112005312097 and 112005312106.

It is not an unprimeable number, because it can be changed into a prime (112005312127) 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 3 ways as a sum of consecutive naturals, for example, 8248325 + ... + 8261892.

Almost surely, 2^112005312128 is an apocalyptic number.

It is an amenable number.

112005312128 is an abundant number, since it is smaller than the sum of its proper divisors (115340389732).

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

112005312128 is an equidigital number, since it uses as much as digits as its factorization.

112005312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16510284 (or 16510272 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

Adding to 112005312128 its reverse (821213500211), we get a palindrome (933218812339).

The spelling of 112005312128 in words is "one hundred twelve billion, five million, three hundred twelve thousand, one hundred twenty-eight".