320212212000 has 192 divisors, whose sum is σ = 1057280200704. Its totient is φ = 84717158400.

The previous prime is 320212211999. The next prime is 320212212031. The reversal of 320212212000 is 212212023.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418944 + ... + 1629056.

It is an arithmetic number, because the mean of its divisors is an integer number (5506667712).

Almost surely, 2^320212212000 is an apocalyptic number.

320212212000 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 320212212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528640100352).

320212212000 is an abundant number, since it is smaller than the sum of its proper divisors (737067988704).

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

320212212000 is a wasteful number, since it uses less digits than its factorization.

320212212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210268 (or 210250 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 320212212000 its reverse (212212023), we get a palindrome (320424424023).

It can be divided in two parts, 32021 and 2212000, that added together give a triangular number (2244021 = T₂₁₁₈).

The spelling of 320212212000 in words is "three hundred twenty billion, two hundred twelve million, two hundred twelve thousand".