12200122122201 has 72 divisors (see below), whose sum is σ = 19124718346656. Its totient is φ = 7491071427840.

The previous prime is 12200122122191. The next prime is 12200122122259. The reversal of 12200122122201 is 10222122100221.

It is a happy number.

12200122122201 is a `hidden beast` number, since 1 + 220 + 0 + 1 + 221 + 2 + 220 + 1 = 666.

It is not a de Polignac number, because 12200122122201 - 2¹⁷ = 12200121991129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12200122126201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2225078806 + ... + 2225084288.

It is an arithmetic number, because the mean of its divisors is an integer number (265621088148).

Almost surely, 2^{12200122122201} is an apocalyptic number.

It is an amenable number.

12200122122201 is a deficient number, since it is larger than the sum of its proper divisors (6924596224455).

12200122122201 is a wasteful number, since it uses less digits than its factorization.

12200122122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503 (or 8487 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12200122122201 its reverse (10222122100221), we get a palindrome (22422244222422).

The spelling of 12200122122201 in words is "twelve trillion, two hundred billion, one hundred twenty-two million, one hundred twenty-two thousand, two hundred one".