12211122001221 has 64 divisors (see below), whose sum is σ = 21260285706240. Its totient is φ = 6829130589120.

The previous prime is 12211122001151. The next prime is 12211122001277. The reversal of 12211122001221 is 12210022111221.

12211122001221 is a `hidden beast` number, since 1 + 221 + 1 + 1 + 220 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 12211122001221 - 2⁹ = 12211122000709 is a prime.

It is a super-2 number, since 2×12211122001221² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12211122001194 and 12211122001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211122001321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11148700 + ... + 12194906.

It is an arithmetic number, because the mean of its divisors is an integer number (332191964160).

Almost surely, 2^{12211122001221} is an apocalyptic number.

12211122001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12211122001221 is a deficient number, since it is larger than the sum of its proper divisors (9049163705019).

12211122001221 is a wasteful number, since it uses less digits than its factorization.

12211122001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049263 (or 1049257 counting only the distinct ones).

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

Adding to 12211122001221 its reverse (12210022111221), we get a palindrome (24421144112442).

The spelling of 12211122001221 in words is "twelve trillion, two hundred eleven billion, one hundred twenty-two million, one thousand, two hundred twenty-one".