321204142120224 has 144 divisors (see below), whose sum is σ = 967074922408896. Its totient is φ = 93102649812480.

The previous prime is 321204142120177. The next prime is 321204142120289. The reversal of 321204142120224 is 422021241402123.

It is a junction number, because it is equal to n+sod(n) for n = 321204142120191 and 321204142120200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600860479 + ... + 601394814.

It is an arithmetic number, because the mean of its divisors is an integer number (6715798072284).

Almost surely, 2^{321204142120224} is an apocalyptic number.

It is an amenable number.

321204142120224 is an abundant number, since it is smaller than the sum of its proper divisors (645870780288672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321204142120224 is a wasteful number, since it uses less digits than its factorization.

321204142120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202255351 (or 1202255332 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 321204142120224 its reverse (422021241402123), we get a palindrome (743225383522347).

The spelling of 321204142120224 in words is "three hundred twenty-one trillion, two hundred four billion, one hundred forty-two million, one hundred twenty thousand, two hundred twenty-four".