320200212000 has 192 divisors, whose sum is σ = 1054843171200. Its totient is φ = 84909132800.

The previous prime is 320200211959. The next prime is 320200212001. The reversal of 320200212000 is 212002023.

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

It is not an unprimeable number, because it can be changed into a prime (320200212001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2073466 + ... + 2222534.

It is an arithmetic number, because the mean of its divisors is an integer number (5493974850).

Almost surely, 2^320200212000 is an apocalyptic number.

320200212000 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 320200212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527421585600).

320200212000 is an abundant number, since it is smaller than the sum of its proper divisors (734642959200).

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

320200212000 is a wasteful number, since it uses less digits than its factorization.

320200212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149276 (or 149258 counting only the distinct ones).

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

Adding to 320200212000 its reverse (212002023), we get a palindrome (320412214023).

The spelling of 320200212000 in words is "three hundred twenty billion, two hundred million, two hundred twelve thousand".