212321000000 has 196 divisors, whose sum is σ = 529434395028. Its totient is φ = 84480000000.

The previous prime is 212320999999. The next prime is 212321000041. The reversal of 212321000000 is 123212.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 168736922176 + 43584077824 = 410776^2 + 208768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 240999560 + ... + 241000440.

It is an arithmetic number, because the mean of its divisors is an integer number (2701195893).

Almost surely, 2^212321000000 is an apocalyptic number.

212321000000 is a gapful number since it is divisible by the number (20) 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 212321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264717197514).

212321000000 is an abundant number, since it is smaller than the sum of its proper divisors (317113395028).

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

212321000000 is an frugal number, since it uses more digits than its factorization.

212321000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 212321000000 its reverse (123212), we get a palindrome (212321123212).

The spelling of 212321000000 in words is "two hundred twelve billion, three hundred twenty-one million", and thus it is an aban number.