330121200220020 has 768 divisors, whose sum is σ = 1234089271296000. Its totient is φ = 72318692160000.

The previous prime is 330121200219961. The next prime is 330121200220037. The reversal of 330121200220020 is 20022002121033.

330121200220020 is a `hidden beast` number, since 3 + 301 + 2 + 120 + 0 + 220 + 0 + 20 = 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 = 330121200219975 and 330121200220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 931707895 + ... + 932062145.

It is an arithmetic number, because the mean of its divisors is an integer number (1606887072000).

Almost surely, 2^{330121200220020} is an apocalyptic number.

330121200220020 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 330121200220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617044635648000).

330121200220020 is an abundant number, since it is smaller than the sum of its proper divisors (903968071075980).

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

330121200220020 is a wasteful number, since it uses less digits than its factorization.

330121200220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354681 (or 354673 counting only the distinct ones).

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

Adding to 330121200220020 its reverse (20022002121033), we get a palindrome (350143202341053).

The spelling of 330121200220020 in words is "three hundred thirty trillion, one hundred twenty-one billion, two hundred million, two hundred twenty thousand, twenty".