120320323201300 has 72 divisors (see below), whose sum is σ = 268130268923832. Its totient is φ = 46837178880000.

The previous prime is 120320323201261. The next prime is 120320323201307. The reversal of 120320323201300 is 3102323023021.

It can be written as a sum of positive squares in 12 ways, for example, as 5310913829764 + 115009409371536 = 2304542^2 + 10724244^2 .

It is a super-3 number, since 3×120320323201300³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120320323201307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34947447 + ... + 38235646.

It is an arithmetic number, because the mean of its divisors is an integer number (3724031512831).

Almost surely, 2^{120320323201300} is an apocalyptic number.

120320323201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120320323201300 is an abundant number, since it is smaller than the sum of its proper divisors (147809945722532).

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

120320323201300 is a wasteful number, since it uses less digits than its factorization.

120320323201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73183549 (or 73183542 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 120320323201300 its reverse (3102323023021), we get a palindrome (123422646224321).

The spelling of 120320323201300 in words is "one hundred twenty trillion, three hundred twenty billion, three hundred twenty-three million, two hundred one thousand, three hundred".