200022140431200 has 288 divisors, whose sum is σ = 659248232662656. Its totient is φ = 52670050652160.

The previous prime is 200022140431159. The next prime is 200022140431247. The reversal of 200022140431200 is 2134041220002.

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, 396753687 + ... + 397257513.

It is an arithmetic number, because the mean of its divisors is an integer number (2289056363412).

Almost surely, 2^{200022140431200} is an apocalyptic number.

200022140431200 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 200022140431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329624116331328).

200022140431200 is an abundant number, since it is smaller than the sum of its proper divisors (459226092231456).

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

200022140431200 is a wasteful number, since it uses less digits than its factorization.

200022140431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505926 (or 505913 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 200022140431200 its reverse (2134041220002), we get a palindrome (202156181651202).

The spelling of 200022140431200 in words is "two hundred trillion, twenty-two billion, one hundred forty million, four hundred thirty-one thousand, two hundred".