120002200223121 has 48 divisors (see below), whose sum is σ = 178490985987600. Its totient is φ = 77633915595264.

The previous prime is 120002200223041. The next prime is 120002200223123. The reversal of 120002200223121 is 121322002200021.

120002200223121 is a `hidden beast` number, since 1 + 200 + 0 + 220 + 0 + 223 + 1 + 21 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 414524794896 + 119587675428225 = 643836^2 + 10935615^2 .

It is not a de Polignac number, because 120002200223121 - 2¹¹ = 120002200221073 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120002200223094 and 120002200223103.

It is not an unprimeable number, because it can be changed into a prime (120002200223123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3103298575 + ... + 3103337243.

It is an arithmetic number, because the mean of its divisors is an integer number (3718562208075).

Almost surely, 2^{120002200223121} is an apocalyptic number.

It is an amenable number.

120002200223121 is a deficient number, since it is larger than the sum of its proper divisors (58488785764479).

120002200223121 is a wasteful number, since it uses less digits than its factorization.

120002200223121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63058 (or 63055 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 120002200223121 its reverse (121322002200021), we get a palindrome (241324202423142).

The spelling of 120002200223121 in words is "one hundred twenty trillion, two billion, two hundred million, two hundred twenty-three thousand, one hundred twenty-one".