321420312020000 has 480 divisors, whose sum is σ = 828525242991600. Its totient is φ = 122590347264000.

The previous prime is 321420312019993. The next prime is 321420312020029. The reversal of 321420312020000 is 20213024123.

It can be written as a sum of positive squares in 40 ways, for example, as 319506616063504 + 1913695956496 = 17874748^2 + 1383364^2 .

It is a super-2 number, since 2×321420312020000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7442158406 + ... + 7442201594.

Almost surely, 2^{321420312020000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321420312020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414262621495800).

321420312020000 is an abundant number, since it is smaller than the sum of its proper divisors (507104930971600).

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

321420312020000 is a wasteful number, since it uses less digits than its factorization.

321420312020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43458 (or 43435 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 321420312020000 its reverse (20213024123), we get a palindrome (321440525044123).

The spelling of 321420312020000 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred twelve million, twenty thousand".