120210000330200 has 192 divisors, whose sum is σ = 313104424320000. Its totient is φ = 42551518464000.

The previous prime is 120210000330197. The next prime is 120210000330209. The reversal of 120210000330200 is 2033000012021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210000330209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7468976 + ... + 17210624.

It is an arithmetic number, because the mean of its divisors is an integer number (1630752210000).

Almost surely, 2^{120210000330200} is an apocalyptic number.

120210000330200 is a gapful number since it is divisible by the number (10) 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 120210000330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156552212160000).

120210000330200 is an abundant number, since it is smaller than the sum of its proper divisors (192894423989800).

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

120210000330200 is a wasteful number, since it uses less digits than its factorization.

120210000330200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9741826 (or 9741817 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 120210000330200 its reverse (2033000012021), we get a palindrome (122243000342221).

The spelling of 120210000330200 in words is "one hundred twenty trillion, two hundred ten billion, three hundred thirty thousand, two hundred".