320220120000000 has 640 divisors, whose sum is σ = 1163301471940608. Its totient is φ = 77628800000000.

The previous prime is 320220119999987. The next prime is 320220120000089. The reversal of 320220120000000 is 21022023.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1319878705 + ... + 1320121295.

Almost surely, 2^{320220120000000} is an apocalyptic number.

320220120000000 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 320220120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581650735970304).

320220120000000 is an abundant number, since it is smaller than the sum of its proper divisors (843081351940608).

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

320220120000000 is an frugal number, since it uses more digits than its factorization.

320220120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242658 (or 242612 counting only the distinct ones).

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

Adding to 320220120000000 its reverse (21022023), we get a palindrome (320220141022023).

The spelling of 320220120000000 in words is "three hundred twenty trillion, two hundred twenty billion, one hundred twenty million", and thus it is an aban number.