320211321000 has 128 divisors (see below), whose sum is σ = 999634521600. Its totient is φ = 85340524800.

The previous prime is 320211320971. The next prime is 320211321013. The reversal of 320211321000 is 123112023.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5337169 + ... + 5396831.

It is an arithmetic number, because the mean of its divisors is an integer number (7809644700).

Almost surely, 2^320211321000 is an apocalyptic number.

320211321000 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 320211321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499817260800).

320211321000 is an abundant number, since it is smaller than the sum of its proper divisors (679423200600).

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

320211321000 is a wasteful number, since it uses less digits than its factorization.

320211321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61476 (or 61462 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 320211321000 its reverse (123112023), we get a palindrome (320334433023).

The spelling of 320211321000 in words is "three hundred twenty billion, two hundred eleven million, three hundred twenty-one thousand".