320030221212000 has 2304 divisors, whose sum is σ = 1346941961164800. Its totient is φ = 73595083161600.

The previous prime is 320030221211927. The next prime is 320030221212019. The reversal of 320030221212000 is 212122030023.

320030221212000 is a `hidden beast` number, since 3 + 200 + 30 + 221 + 212 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18051219136 + ... + 18051236864.

It is an arithmetic number, because the mean of its divisors is an integer number (584610226200).

Almost surely, 2^{320030221212000} is an apocalyptic number.

320030221212000 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 320030221212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673470980582400).

320030221212000 is an abundant number, since it is smaller than the sum of its proper divisors (1026911739952800).

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

320030221212000 is a wasteful number, since it uses less digits than its factorization.

320030221212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17855 (or 17818 counting only the distinct ones).

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

Adding to 320030221212000 its reverse (212122030023), we get a palindrome (320242343242023).

The spelling of 320030221212000 in words is "three hundred twenty trillion, thirty billion, two hundred twenty-one million, two hundred twelve thousand".