330121132200 has 192 divisors, whose sum is σ = 1137798604800. Its totient is φ = 87976972800.

The previous prime is 330121132199. The next prime is 330121132207. The reversal of 330121132200 is 2231121033.

330121132200 is a `hidden beast` number, since 330 + 1 + 2 + 1 + 132 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (330121132207) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8961820 + ... + 8998580.

It is an arithmetic number, because the mean of its divisors is an integer number (5926034400).

Almost surely, 2^330121132200 is an apocalyptic number.

330121132200 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 330121132200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568899302400).

330121132200 is an abundant number, since it is smaller than the sum of its proper divisors (807677472600).

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

330121132200 is a wasteful number, since it uses less digits than its factorization.

330121132200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38449 (or 38434 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330121132200 its reverse (2231121033), we get a palindrome (332352253233).

The spelling of 330121132200 in words is "three hundred thirty billion, one hundred twenty-one million, one hundred thirty-two thousand, two hundred".