120020332300020 has 144 divisors (see below), whose sum is σ = 385605119809728. Its totient is φ = 30112743521280.

The previous prime is 120020332300013. The next prime is 120020332300027. The reversal of 120020332300020 is 20003233020021.

It is a happy number.

120020332300020 is a `hidden beast` number, since 12 + 0 + 0 + 2 + 0 + 332 + 300 + 0 + 20 = 666.

120020332300020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120020332300013) and next prime (120020332300027).

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 = 120020332299966 and 120020332300002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020332300027) 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 47 ways as a sum of consecutive naturals, for example, 2700487 + ... + 15726833.

It is an arithmetic number, because the mean of its divisors is an integer number (2677813332012).

Almost surely, 2^{120020332300020} is an apocalyptic number.

120020332300020 is a gapful number since it is divisible by the number (10) 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 120020332300020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192802559904864).

120020332300020 is an abundant number, since it is smaller than the sum of its proper divisors (265584787509708).

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

120020332300020 is a wasteful number, since it uses less digits than its factorization.

120020332300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13029390 (or 13029385 counting only the distinct ones).

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

Adding to 120020332300020 its reverse (20003233020021), we get a palindrome (140023565320041).

The spelling of 120020332300020 in words is "one hundred twenty trillion, twenty billion, three hundred thirty-two million, three hundred thousand, twenty".