12221000132321 has 8 divisors (see below), whose sum is σ = 12565819771560. Its totient is φ = 11880411409152.

The previous prime is 12221000132309. The next prime is 12221000132333. The reversal of 12221000132321 is 12323100012221.

It is an interprime number because it is at equal distance from previous prime (12221000132309) and next prime (12221000132333).

It can be written as a sum of positive squares in 4 ways, for example, as 7479650661025 + 4741349471296 = 2734895^2 + 2177464^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12221000132321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12221000132293 and 12221000132302.

It is not an unprimeable number, because it can be changed into a prime (12221000132371) 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, 1057723160 + ... + 1057734713.

It is an arithmetic number, because the mean of its divisors is an integer number (1570727471445).

Almost surely, 2^{12221000132321} is an apocalyptic number.

It is an amenable number.

12221000132321 is a deficient number, since it is larger than the sum of its proper divisors (344819639239).

12221000132321 is a wasteful number, since it uses less digits than its factorization.

12221000132321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115458035.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 12221000132321 its reverse (12323100012221), we get a palindrome (24544100144542).

The spelling of 12221000132321 in words is "twelve trillion, two hundred twenty-one billion, one hundred thirty-two thousand, three hundred twenty-one".