200120200200 has 288 divisors, whose sum is σ = 698020502400. Its totient is φ = 51343418880.

The previous prime is 200120200157. The next prime is 200120200201. The reversal of 200120200200 is 2002021002.

It is a super-3 number, since 3×200120200200³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (200120200201) 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 71 ways as a sum of consecutive naturals, for example, 4971354 + ... + 5011446.

It is an arithmetic number, because the mean of its divisors is an integer number (2423682300).

Almost surely, 2^200120200200 is an apocalyptic number.

200120200200 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 200120200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349010251200).

200120200200 is an abundant number, since it is smaller than the sum of its proper divisors (497900302200).

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

200120200200 is a wasteful number, since it uses less digits than its factorization.

200120200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40221 (or 40209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200120200200 its reverse (2002021002), we get a palindrome (202122221202).

The spelling of 200120200200 in words is "two hundred billion, one hundred twenty million, two hundred thousand, two hundred".