320202000000 has 336 divisors, whose sum is σ = 1151818264350. Its totient is φ = 85382400000.

The previous prime is 320201999927. The next prime is 320202000071. The reversal of 320202000000 is 202023.

It can be written as a sum of positive squares in 7 ways, for example, as 73796982336 + 246405017664 = 271656^2 + 496392^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 17991106 + ... + 18008894.

Almost surely, 2^320202000000 is an apocalyptic number.

320202000000 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 320202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575909132175).

320202000000 is an abundant number, since it is smaller than the sum of its proper divisors (831616264350).

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

320202000000 is an frugal number, since it uses more digits than its factorization.

320202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17839 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 320202000000 its reverse (202023), we get a palindrome (320202202023).

The spelling of 320202000000 in words is "three hundred twenty billion, two hundred two million", and thus it is an aban number.