320303020002120 has 48 divisors (see below), whose sum is σ = 1040984815008060. Its totient is φ = 85414138667136.

The previous prime is 320303020001981. The next prime is 320303020002127. The reversal of 320303020002120 is 21200020303023.

It is a happy number.

320303020002120 is a `hidden beast` number, since 320 + 3 + 0 + 302 + 0 + 0 + 0 + 21 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 314374389127236 + 5928630874884 = 17730606^2 + 2434878^2 .

It is a super-3 number, since 3×320303020002120³ (a number of 44 digits) contains 333 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 = 320303020002093 and 320303020002102.

It is not an unprimeable number, because it can be changed into a prime (320303020002127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444865305199 + ... + 444865305918.

Almost surely, 2^{320303020002120} is an apocalyptic number.

320303020002120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320303020002120 is an abundant number, since it is smaller than the sum of its proper divisors (720681795005940).

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

320303020002120 is a wasteful number, since it uses less digits than its factorization.

320303020002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889730611134 (or 889730611127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 320303020002120 its reverse (21200020303023), we get a palindrome (341503040305143).

The spelling of 320303020002120 in words is "three hundred twenty trillion, three hundred three billion, twenty million, two thousand, one hundred twenty".