3330120230300 has 144 divisors (see below), whose sum is σ = 7569166917312. Its totient is φ = 1269306931200.

The previous prime is 3330120230293. The next prime is 3330120230309. The reversal of 3330120230300 is 30320210333.

It is a super-2 number, since 2×3330120230300² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330120230309) 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 47 ways as a sum of consecutive naturals, for example, 829831094 + ... + 829835106.

It is an arithmetic number, because the mean of its divisors is an integer number (52563659148).

Almost surely, 2^{3330120230300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3330120230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3784583458656).

3330120230300 is an abundant number, since it is smaller than the sum of its proper divisors (4239046687012).

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

3330120230300 is a wasteful number, since it uses less digits than its factorization.

3330120230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 3330120230300 its reverse (30320210333), we get a palindrome (3360440440633).

The spelling of 3330120230300 in words is "three trillion, three hundred thirty billion, one hundred twenty million, two hundred thirty thousand, three hundred".