320200321010220 has 432 divisors, whose sum is σ = 1146014701767936. Its totient is φ = 72148920480000.

The previous prime is 320200321010209. The next prime is 320200321010263. The reversal of 320200321010220 is 22010123002023.

320200321010220 is a `hidden beast` number, since 3 + 20 + 200 + 3 + 210 + 10 + 220 = 666.

It is a super-2 number, since 2×320200321010220² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 320200321010193 and 320200321010202.

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 143 ways as a sum of consecutive naturals, for example, 173550775 + ... + 175386065.

It is an arithmetic number, because the mean of its divisors is an integer number (2652811809648).

Almost surely, 2^{320200321010220} is an apocalyptic number.

320200321010220 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 320200321010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573007350883968).

320200321010220 is an abundant number, since it is smaller than the sum of its proper divisors (825814380757716).

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

320200321010220 is a wasteful number, since it uses less digits than its factorization.

320200321010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835602 (or 1835590 counting only the distinct ones).

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

Adding to 320200321010220 its reverse (22010123002023), we get a palindrome (342210444012243).

The spelling of 320200321010220 in words is "three hundred twenty trillion, two hundred billion, three hundred twenty-one million, ten thousand, two hundred twenty".