112122313310106 has 48 divisors (see below), whose sum is σ = 265025354001408. Its totient is φ = 33975307670400.

The previous prime is 112122313310047. The next prime is 112122313310107. The reversal of 112122313310106 is 601013313221211.

112122313310106 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 22 + 313 + 310 + 10 + 6 = 666.

112122313310106 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 112122313310106.

It is not an unprimeable number, because it can be changed into a prime (112122313310107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3721855 + ... + 15430386.

It is an arithmetic number, because the mean of its divisors is an integer number (5521361541696).

Almost surely, 2^{112122313310106} is an apocalyptic number.

112122313310106 is an abundant number, since it is smaller than the sum of its proper divisors (152903040691302).

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

112122313310106 is a wasteful number, since it uses less digits than its factorization.

112122313310106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181827 (or 19181824 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 112122313310106 its reverse (601013313221211), we get a palindrome (713135626531317).

The spelling of 112122313310106 in words is "one hundred twelve trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred ten thousand, one hundred six".