3300123220020 has 864 divisors, whose sum is σ = 11680065686016. Its totient is φ = 753285519360.

The previous prime is 3300123220013. The next prime is 3300123220061. The reversal of 3300123220020 is 200223210033.

It is a happy number.

3300123220020 is a `hidden beast` number, since 3 + 300 + 123 + 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 = 3300123219975 and 3300123220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37080036136 + ... + 37080036224.

It is an arithmetic number, because the mean of its divisors is an integer number (13518594544).

Almost surely, 2^{3300123220020} is an apocalyptic number.

3300123220020 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 3300123220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5840032843008).

3300123220020 is an abundant number, since it is smaller than the sum of its proper divisors (8379942465996).

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

3300123220020 is a wasteful number, since it uses less digits than its factorization.

3300123220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 194 counting only the distinct ones).

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

Adding to 3300123220020 its reverse (200223210033), we get a palindrome (3500346430053).

The spelling of 3300123220020 in words is "three trillion, three hundred billion, one hundred twenty-three million, two hundred twenty thousand, twenty".