200011202000 has 320 divisors, whose sum is σ = 516107592000. Its totient is φ = 74833920000.

The previous prime is 200011201987. The next prime is 200011202009. The reversal of 200011202000 is 202110002.

200011202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 194689207696 + 5321994304 = 441236^2 + 72952^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200011202009) 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 63 ways as a sum of consecutive naturals, for example, 573097826 + ... + 573098174.

It is an arithmetic number, because the mean of its divisors is an integer number (1612836225).

Almost surely, 2^200011202000 is an apocalyptic number.

200011202000 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 200011202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258053796000).

200011202000 is an abundant number, since it is smaller than the sum of its proper divisors (316096390000).

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

200011202000 is a wasteful number, since it uses less digits than its factorization.

200011202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

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

Adding to 200011202000 its reverse (202110002), we get a palindrome (200213312002).

The spelling of 200011202000 in words is "two hundred billion, eleven million, two hundred two thousand".