12201222011121 has 128 divisors (see below), whose sum is σ = 22274155008000. Its totient is φ = 6495243448320.

The previous prime is 12201222011101. The next prime is 12201222011129. The reversal of 12201222011121 is 12111022210221.

12201222011121 is a `hidden beast` number, since 1 + 220 + 122 + 201 + 1 + 121 = 666.

It is not a de Polignac number, because 12201222011121 - 2¹⁴ = 12201221994737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12201222011094 and 12201222011103.

It is not an unprimeable number, because it can be changed into a prime (12201222011129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16783030 + ... + 17494928.

It is an arithmetic number, because the mean of its divisors is an integer number (174016836000).

Almost surely, 2^{12201222011121} is an apocalyptic number.

12201222011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12201222011121 is a deficient number, since it is larger than the sum of its proper divisors (10072932996879).

12201222011121 is a wasteful number, since it uses less digits than its factorization.

12201222011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712148 (or 712142 counting only the distinct ones).

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

Adding to 12201222011121 its reverse (12111022210221), we get a palindrome (24312244221342).

The spelling of 12201222011121 in words is "twelve trillion, two hundred one billion, two hundred twenty-two million, eleven thousand, one hundred twenty-one".