320034210120 has 48 divisors (see below), whose sum is σ = 1040111184060. Its totient is φ = 85342455936.

The previous prime is 320034210061. The next prime is 320034210137. The reversal of 320034210120 is 21012430023.

320034210120 is a `hidden beast` number, since 3 + 200 + 342 + 1 + 0 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 311370696036 + 8663514084 = 558006^2 + 93078^2 .

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 = 320034210093 and 320034210102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 444491599 + ... + 444492318.

Almost surely, 2^320034210120 is an apocalyptic number.

320034210120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320034210120 is an abundant number, since it is smaller than the sum of its proper divisors (720076973940).

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

320034210120 is a wasteful number, since it uses less digits than its factorization.

320034210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888983934 (or 888983927 counting only the distinct ones).

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

Adding to 320034210120 its reverse (21012430023), we get a palindrome (341046640143).

The spelling of 320034210120 in words is "three hundred twenty billion, thirty-four million, two hundred ten thousand, one hundred twenty".