12221400412221 has 64 divisors (see below), whose sum is σ = 22023764668416. Its totient is φ = 5821600896000.

The previous prime is 12221400412211. The next prime is 12221400412301.

12221400412221 is nontrivially palindromic in base 10.

12221400412221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221400412221 - 2²³ = 12221392023613 is a prime.

It is a super-3 number, since 3×12221400412221³ (a number of 40 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12221400412191 and 12221400412200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221400412201) 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, 13022476 + ... + 13929381.

It is an arithmetic number, because the mean of its divisors is an integer number (344121322944).

Almost surely, 2^{12221400412221} is an apocalyptic number.

12221400412221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12221400412221 is a deficient number, since it is larger than the sum of its proper divisors (9802364256195).

12221400412221 is a wasteful number, since it uses less digits than its factorization.

12221400412221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26952042.

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 12221400 and 412221, that added together give a palindrome (12633621).

The spelling of 12221400412221 in words is "twelve trillion, two hundred twenty-one billion, four hundred million, four hundred twelve thousand, two hundred twenty-one".