321213030000 has 200 divisors, whose sum is σ = 1039543252176. Its totient is φ = 85440000000.

The previous prime is 321213029987. The next prime is 321213030001. The reversal of 321213030000 is 30312123.

321213030000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321213030001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12016650 + ... + 12043350.

Almost surely, 2^321213030000 is an apocalyptic number.

321213030000 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 321213030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519771626088).

321213030000 is an abundant number, since it is smaller than the sum of its proper divisors (718330222176).

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

321213030000 is a wasteful number, since it uses less digits than its factorization.

321213030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27133 (or 27112 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 321213030000 its reverse (30312123), we get a palindrome (321243342123).

The spelling of 321213030000 in words is "three hundred twenty-one billion, two hundred thirteen million, thirty thousand".