12221002122121 has 8 divisors (see below), whose sum is σ = 13233792355784. Its totient is φ = 11218599480960.

The previous prime is 12221002122113. The next prime is 12221002122157. The reversal of 12221002122121 is 12122120012221.

It can be written as a sum of positive squares in 4 ways, for example, as 217029266496 + 12003972855625 = 465864^2 + 3464675^2 .

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 12221002122121 - 2³ = 12221002122113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12221002122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2596895676 + ... + 2596900381.

It is an arithmetic number, because the mean of its divisors is an integer number (1654224044473).

Almost surely, 2^{12221002122121} is an apocalyptic number.

It is an amenable number.

12221002122121 is a deficient number, since it is larger than the sum of its proper divisors (1012790233663).

12221002122121 is a wasteful number, since it uses less digits than its factorization.

12221002122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193796251.

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 12221002122121 its reverse (12122120012221), we get a palindrome (24343122134342).

The spelling of 12221002122121 in words is "twelve trillion, two hundred twenty-one billion, two million, one hundred twenty-two thousand, one hundred twenty-one".