321322212000000 has 378 divisors, whose sum is σ = 1158049246584594. Its totient is φ = 85685913600000.

The previous prime is 321322211999953. The next prime is 321322212000007. The reversal of 321322212000000 is 212223123.

321322212000000 is a `hidden beast` number, since 321 + 3 + 222 + 120 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 316359439958016 + 4962772041984 = 17786496^2 + 2227728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (321322212000007) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 31537192 + ... + 40462808.

Almost surely, 2^{321322212000000} is an apocalyptic number.

321322212000000 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 321322212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579024623292297).

321322212000000 is an abundant number, since it is smaller than the sum of its proper divisors (836727034584594).

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

321322212000000 is an frugal number, since it uses more digits than its factorization.

321322212000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8925669 (or 8925627 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 321322212000000 its reverse (212223123), we get a palindrome (321322424223123).

The spelling of 321322212000000 in words is "three hundred twenty-one trillion, three hundred twenty-two billion, two hundred twelve million", and thus it is an aban number.