200205330000120 has 192 divisors, whose sum is σ = 658559830874400. Its totient is φ = 52740601405440.

The previous prime is 200205330000059. The next prime is 200205330000167. The reversal of 200205330000120 is 21000033502002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200205330000093 and 200205330000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 378883300 + ... + 379411340.

Almost surely, 2^{200205330000120} is an apocalyptic number.

200205330000120 is a gapful number since it is divisible by the number (20) 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 200205330000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329279915437200).

200205330000120 is an abundant number, since it is smaller than the sum of its proper divisors (458354500874280).

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

200205330000120 is a wasteful number, since it uses less digits than its factorization.

200205330000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540830 (or 540823 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 200205330000120 its reverse (21000033502002), we get a palindrome (221205363502122).

The spelling of 200205330000120 in words is "two hundred trillion, two hundred five billion, three hundred thirty million, one hundred twenty", and thus it is an aban number.