321204422321220 has 384 divisors, whose sum is σ = 969531555041280. Its totient is φ = 79256435005440.

The previous prime is 321204422321219. The next prime is 321204422321281. The reversal of 321204422321220 is 22123224402123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16952775787 + ... + 16952794733.

It is an arithmetic number, because the mean of its divisors is an integer number (2524821757920).

Almost surely, 2^{321204422321220} is an apocalyptic number.

321204422321220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321204422321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484765777520640).

321204422321220 is an abundant number, since it is smaller than the sum of its proper divisors (648327132720060).

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

321204422321220 is a wasteful number, since it uses less digits than its factorization.

321204422321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21755 (or 21753 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 321204422321220 its reverse (22123224402123), we get a palindrome (343327646723343).

The spelling of 321204422321220 in words is "three hundred twenty-one trillion, two hundred four billion, four hundred twenty-two million, three hundred twenty-one thousand, two hundred twenty".