112120122001221 has 12 divisors (see below), whose sum is σ = 165901318734060. Its totient is φ = 72923656585920.

The previous prime is 112120122001183. The next prime is 112120122001253. The reversal of 112120122001221 is 122100221021211.

112120122001221 is a `hidden beast` number, since 1 + 1 + 21 + 201 + 220 + 0 + 1 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46366089840225 + 65754032160996 = 6809265^2 + 8108886^2 .

It is not a de Polignac number, because 112120122001221 - 2³⁴ = 112102942132037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112120122001194 and 112120122001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112120122001291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151924284186 + ... + 151924284923.

It is an arithmetic number, because the mean of its divisors is an integer number (13825109894505).

Almost surely, 2^{112120122001221} is an apocalyptic number.

It is an amenable number.

112120122001221 is a deficient number, since it is larger than the sum of its proper divisors (53781196732839).

112120122001221 is a wasteful number, since it uses less digits than its factorization.

112120122001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303848569156 (or 303848569153 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112120122001221 its reverse (122100221021211), we get a palindrome (234220343022432).

The spelling of 112120122001221 in words is "one hundred twelve trillion, one hundred twenty billion, one hundred twenty-two million, one thousand, two hundred twenty-one".