3301120330200 has 432 divisors, whose sum is σ = 13926550987440. Its totient is φ = 685946764800.

The previous prime is 3301120330177. The next prime is 3301120330231. The reversal of 3301120330200 is 20330211033.

3301120330200 is a `hidden beast` number, since 3 + 301 + 12 + 0 + 330 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 441982 + ... + 2607218.

It is an arithmetic number, because the mean of its divisors is an integer number (32237386545).

Almost surely, 2^{3301120330200} is an apocalyptic number.

3301120330200 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 3301120330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963275493720).

3301120330200 is an abundant number, since it is smaller than the sum of its proper divisors (10625430657240).

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

3301120330200 is a wasteful number, since it uses less digits than its factorization.

3301120330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165288 (or 2165265 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3301120330200 its reverse (20330211033), we get a palindrome (3321450541233).

The spelling of 3301120330200 in words is "three trillion, three hundred one billion, one hundred twenty million, three hundred thirty thousand, two hundred".