200200122021200 has 240 divisors, whose sum is σ = 550420653264000. Its totient is φ = 68549156444160.

The previous prime is 200200122021199. The next prime is 200200122021217. The reversal of 200200122021200 is 2120221002002.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 7214664926 + ... + 7214692674.

It is an arithmetic number, because the mean of its divisors is an integer number (2293419388600).

Almost surely, 2^{200200122021200} is an apocalyptic number.

200200122021200 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 200200122021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275210326632000).

200200122021200 is an abundant number, since it is smaller than the sum of its proper divisors (350220531242800).

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

200200122021200 is a wasteful number, since it uses less digits than its factorization.

200200122021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31094 (or 31083 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 200200122021200 its reverse (2120221002002), we get a palindrome (202320343023202).

The spelling of 200200122021200 in words is "two hundred trillion, two hundred billion, one hundred twenty-two million, twenty-one thousand, two hundred".