330020011020 has 192 divisors, whose sum is σ = 1092971335680. Its totient is φ = 72799254528.

The previous prime is 330020010953. The next prime is 330020011039. The reversal of 330020011020 is 20110020033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 330020010987 and 330020011005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35646232 + ... + 35655488.

It is an arithmetic number, because the mean of its divisors is an integer number (5692559040).

Almost surely, 2^330020011020 is an apocalyptic number.

330020011020 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 330020011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546485667840).

330020011020 is an abundant number, since it is smaller than the sum of its proper divisors (762951324660).

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

330020011020 is a wasteful number, since it uses less digits than its factorization.

330020011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12232 (or 12230 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 330020011020 its reverse (20110020033), we get a palindrome (350130031053).

The spelling of 330020011020 in words is "three hundred thirty billion, twenty million, eleven thousand, twenty".