120200300330000 has 200 divisors, whose sum is σ = 317621938144896. Its totient is φ = 43688699200000.

The previous prime is 120200300329999. The next prime is 120200300330003. The reversal of 120200300330000 is 33003002021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×120200300330000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120200300330003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 235254809 + ... + 235765191.

Almost surely, 2^{120200300330000} is an apocalyptic number.

120200300330000 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 120200300330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158810969072448).

120200300330000 is an abundant number, since it is smaller than the sum of its proper divisors (197421637814896).

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

120200300330000 is a wasteful number, since it uses less digits than its factorization.

120200300330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512563 (or 512542 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 120200300330000 its reverse (33003002021), we get a palindrome (120233303332021).

The spelling of 120200300330000 in words is "one hundred twenty trillion, two hundred billion, three hundred million, three hundred thirty thousand".