20001033303120 has 120 divisors (see below), whose sum is σ = 67178198481576. Its totient is φ = 5332968751104.

The previous prime is 20001033303059. The next prime is 20001033303127. The reversal of 20001033303120 is 2130333010002.

20001033303120 is a `hidden beast` number, since 20 + 0 + 0 + 1 + 0 + 3 + 330 + 312 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 786031189056 + 19215002114064 = 886584^2 + 4383492^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 20001033303093 and 20001033303102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001033303127) 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 23 ways as a sum of consecutive naturals, for example, 4351332 + ... + 7676988.

Almost surely, 2^{20001033303120} is an apocalyptic number.

20001033303120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001033303120 is an abundant number, since it is smaller than the sum of its proper divisors (47177165178456).

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

20001033303120 is a wasteful number, since it uses less digits than its factorization.

20001033303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334029 (or 3334020 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20001033303120 its reverse (2130333010002), we get a palindrome (22131366313122).

The spelling of 20001033303120 in words is "twenty trillion, one billion, thirty-three million, three hundred three thousand, one hundred twenty".