321204120042321 has 24 divisors (see below), whose sum is σ = 464912317629864. Its totient is φ = 213697350846720.

The previous prime is 321204120042293. The next prime is 321204120042331. The reversal of 321204120042321 is 123240021402123.

321204120042321 is a `hidden beast` number, since 3 + 2 + 1 + 204 + 12 + 0 + 0 + 423 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105538330044225 + 215665789998096 = 10273185^2 + 14685564^2 .

It is not a de Polignac number, because 321204120042321 - 2¹⁷ = 321204119911249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321204120042331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31746655 + ... + 40623371.

It is an arithmetic number, because the mean of its divisors is an integer number (19371346567911).

Almost surely, 2^{321204120042321} is an apocalyptic number.

It is an amenable number.

321204120042321 is a deficient number, since it is larger than the sum of its proper divisors (143708197587543).

321204120042321 is a wasteful number, since it uses less digits than its factorization.

321204120042321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884961 (or 8884958 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 321204120042321 its reverse (123240021402123), we get a palindrome (444444141444444).

The spelling of 321204120042321 in words is "three hundred twenty-one trillion, two hundred four billion, one hundred twenty million, forty-two thousand, three hundred twenty-one".