322120342024320 has 256 divisors, whose sum is σ = 1173506363642880. Its totient is φ = 73623241666560.

The previous prime is 322120342024319. The next prime is 322120342024427. The reversal of 322120342024320 is 23420243021223.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 234286075 + ... + 235656965.

It is an arithmetic number, because the mean of its divisors is an integer number (4584009232980).

Almost surely, 2^{322120342024320} is an apocalyptic number.

322120342024320 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 322120342024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586753181821440).

322120342024320 is an abundant number, since it is smaller than the sum of its proper divisors (851386021618560).

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

322120342024320 is a wasteful number, since it uses less digits than its factorization.

322120342024320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388403 (or 1388391 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 322120342024320 its reverse (23420243021223), we get a palindrome (345540585045543).

The spelling of 322120342024320 in words is "three hundred twenty-two trillion, one hundred twenty billion, three hundred forty-two million, twenty-four thousand, three hundred twenty".