200200120 has 64 divisors (see below), whose sum is σ = 460728000. Its totient is φ = 78274560.

The previous prime is 200200097. The next prime is 200200123. The reversal of 200200120 is 21002002.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445656 + ... + 446104.

It is an arithmetic number, because the mean of its divisors is an integer number (7198875).

Almost surely, 2^200200120 is an apocalyptic number.

200200120 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 200200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230364000).

200200120 is an abundant number, since it is smaller than the sum of its proper divisors (260527880).

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

200200120 is a wasteful number, since it uses less digits than its factorization.

200200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 200200120 is about 14149.2091651795. The cubic root of 200200120 is about 584.9985340991.

Adding to 200200120 its reverse (21002002), we get a palindrome (221202122).

The spelling of 200200120 in words is "two hundred million, two hundred thousand, one hundred twenty".