322212000000000 has 960 divisors, whose sum is σ = 1171873708125120. Its totient is φ = 78080000000000.

The previous prime is 322211999999999. The next prime is 322212000000109. The reversal of 322212000000000 is 212223.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 131999998780 + ... + 132000001220.

It is an arithmetic number, because the mean of its divisors is an integer number (1220701779297).

Almost surely, 2^{322212000000000} is an apocalyptic number.

322212000000000 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 322212000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585936854062560).

322212000000000 is an abundant number, since it is smaller than the sum of its proper divisors (849661708125120).

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

322212000000000 is an frugal number, since it uses more digits than its factorization.

322212000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 322212000000000 its reverse (212223), we get a palindrome (322212000212223).

The spelling of 322212000000000 in words is "three hundred twenty-two trillion, two hundred twelve billion", and thus it is an aban number.