112012211301201 has 256 divisors, whose sum is σ = 184269271680000. Its totient is φ = 66932775124992.

The previous prime is 112012211301191. The next prime is 112012211301209. The reversal of 112012211301201 is 102103112210211.

It is a happy number.

112012211301201 is a `hidden beast` number, since 1 + 120 + 1 + 221 + 1 + 301 + 20 + 1 = 666.

It is not a de Polignac number, because 112012211301201 - 2³⁴ = 111995031432017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (112012211301209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 273868487085 + ... + 273868487493.

It is an arithmetic number, because the mean of its divisors is an integer number (719801842500).

Almost surely, 2^{112012211301201} is an apocalyptic number.

It is an amenable number.

112012211301201 is a deficient number, since it is larger than the sum of its proper divisors (72257060378799).

112012211301201 is a wasteful number, since it uses less digits than its factorization.

112012211301201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 112012211301201 its reverse (102103112210211), we get a palindrome (214115323511412).

The spelling of 112012211301201 in words is "one hundred twelve trillion, twelve billion, two hundred eleven million, three hundred one thousand, two hundred one".