20001332202120 has 128 divisors (see below), whose sum is σ = 67515045696000. Its totient is φ = 5266173519360.

The previous prime is 20001332202113. The next prime is 20001332202161. The reversal of 20001332202120 is 2120223310002.

20001332202120 is a `hidden beast` number, since 200 + 0 + 1 + 33 + 220 + 212 + 0 = 666.

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 = 20001332202093 and 20001332202102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117128301 + ... + 117298940.

It is an arithmetic number, because the mean of its divisors is an integer number (527461294500).

Almost surely, 2^{20001332202120} is an apocalyptic number.

20001332202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001332202120 is an abundant number, since it is smaller than the sum of its proper divisors (47513713493880).

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

20001332202120 is a wasteful number, since it uses less digits than its factorization.

20001332202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234427340 (or 234427330 counting only the distinct ones).

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

Adding to 20001332202120 its reverse (2120223310002), we get a palindrome (22121555512122).

The spelling of 20001332202120 in words is "twenty trillion, one billion, three hundred thirty-two million, two hundred two thousand, one hundred twenty".