320300100120 has 1024 divisors, whose sum is σ = 1380465192960. Its totient is φ = 57212928000.

The previous prime is 320300100041. The next prime is 320300100121. The reversal of 320300100120 is 21001003023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 320300100096 and 320300100105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320300100121) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 206245264 + ... + 206246816.

It is an arithmetic number, because the mean of its divisors is an integer number (1348110540).

Almost surely, 2^320300100120 is an apocalyptic number.

320300100120 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 320300100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690232596480).

320300100120 is an abundant number, since it is smaller than the sum of its proper divisors (1060165092840).

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

320300100120 is a wasteful number, since it uses less digits than its factorization.

320300100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 320300100120 its reverse (21001003023), we get a palindrome (341301103143).

The spelling of 320300100120 in words is "three hundred twenty billion, three hundred million, one hundred thousand, one hundred twenty".