22320012001221 has 144 divisors (see below), whose sum is σ = 36830521728000. Its totient is φ = 12999996979200.

The previous prime is 22320012001219. The next prime is 22320012001241. The reversal of 22320012001221 is 12210021002322.

22320012001221 is a `hidden beast` number, since 2 + 2 + 320 + 0 + 120 + 0 + 1 + 221 = 666.

It is not a de Polignac number, because 22320012001221 - 2¹ = 22320012001219 is a prime.

It is a super-3 number, since 3×22320012001221³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22320012001194 and 22320012001203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22320012001201) 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 143 ways as a sum of consecutive naturals, for example, 6640882581 + ... + 6640885941.

It is an arithmetic number, because the mean of its divisors is an integer number (255767512000).

Almost surely, 2^{22320012001221} is an apocalyptic number.

It is an amenable number.

22320012001221 is a deficient number, since it is larger than the sum of its proper divisors (14510509726779).

22320012001221 is a wasteful number, since it uses less digits than its factorization.

22320012001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22320012001221 its reverse (12210021002322), we get a palindrome (34530033003543).

The spelling of 22320012001221 in words is "twenty-two trillion, three hundred twenty billion, twelve million, one thousand, two hundred twenty-one".