320204123032002 has 128 divisors (see below), whose sum is σ = 706932490567680. Its totient is φ = 95882006880000.

The previous prime is 320204123031983. The next prime is 320204123032037. The reversal of 320204123032002 is 200230321402023.

It is a super-2 number, since 2×320204123032002² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7061797743 + ... + 7061843085.

It is an arithmetic number, because the mean of its divisors is an integer number (5522910082560).

Almost surely, 2^{320204123032002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320204123032002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353466245283840).

320204123032002 is an abundant number, since it is smaller than the sum of its proper divisors (386728367535678).

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

320204123032002 is a wasteful number, since it uses less digits than its factorization.

320204123032002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47520.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320204123032002 its reverse (200230321402023), we get a palindrome (520434444434025).

The spelling of 320204123032002 in words is "three hundred twenty trillion, two hundred four billion, one hundred twenty-three million, thirty-two thousand, two".