122201211200211 has 48 divisors (see below), whose sum is σ = 214300256960160. Its totient is φ = 68364313934400.

The previous prime is 122201211200099. The next prime is 122201211200219. The reversal of 122201211200211 is 112002112102221.

122201211200211 is a `hidden beast` number, since 1 + 2 + 220 + 1 + 211 + 20 + 0 + 211 = 666.

It is not a de Polignac number, because 122201211200211 - 2¹⁰ = 122201211199187 is a prime.

It is a super-2 number, since 2×122201211200211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122201211200219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1438600500 + ... + 1438685441.

It is an arithmetic number, because the mean of its divisors is an integer number (4464588686670).

Almost surely, 2^{122201211200211} is an apocalyptic number.

122201211200211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122201211200211 is a deficient number, since it is larger than the sum of its proper divisors (92099045759949).

122201211200211 is a wasteful number, since it uses less digits than its factorization.

122201211200211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877285985 (or 2877285968 counting only the distinct ones).

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

Adding to 122201211200211 its reverse (112002112102221), we get a palindrome (234203323302432).

The spelling of 122201211200211 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred eleven million, two hundred thousand, two hundred eleven".