321214212020000 has 240 divisors, whose sum is σ = 851071234527360. Its totient is φ = 118595373696000.

The previous prime is 321214212019903. The next prime is 321214212020017. The reversal of 321214212020000 is 20212412123.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8107560191 + ... + 8107599809.

It is an arithmetic number, because the mean of its divisors is an integer number (3546130143864).

Almost surely, 2^{321214212020000} 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 321214212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425535617263680).

321214212020000 is an abundant number, since it is smaller than the sum of its proper divisors (529857022507360).

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

321214212020000 is a wasteful number, since it uses less digits than its factorization.

321214212020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70845 (or 70822 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 321214212020000 its reverse (20212412123), we get a palindrome (321234424432123).

The spelling of 321214212020000 in words is "three hundred twenty-one trillion, two hundred fourteen billion, two hundred twelve million, twenty thousand".