12221000133121 has 8 divisors (see below), whose sum is σ = 13161140322344. Its totient is φ = 11280868980480.

The previous prime is 12221000133101. The next prime is 12221000133179. The reversal of 12221000133121 is 12133100012221.

It can be written as a sum of positive squares in 4 ways, for example, as 28954425600 + 12192045707521 = 170160^2 + 3491711^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12221000133121 - 2⁷ = 12221000132993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12221000133101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692515 + ... + 4992151.

It is an arithmetic number, because the mean of its divisors is an integer number (1645142540293).

Almost surely, 2^{12221000133121} is an apocalyptic number.

It is an amenable number.

12221000133121 is a deficient number, since it is larger than the sum of its proper divisors (940140189223).

12221000133121 is a wasteful number, since it uses less digits than its factorization.

12221000133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518291.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12221000133121 its reverse (12133100012221), we get a palindrome (24354100145342).

The spelling of 12221000133121 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-three thousand, one hundred twenty-one".