200221809006912 has 2016 divisors, whose sum is σ = 707150260494720. Its totient is φ = 49785510297600.

The previous prime is 200221809006899. The next prime is 200221809006913. The reversal of 200221809006912 is 219600908122002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221809006913) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 475586244462 + ... + 475586244882.

It is an arithmetic number, because the mean of its divisors is an integer number (350768978420).

Almost surely, 2^{200221809006912} is an apocalyptic number.

200221809006912 is a gapful number since it is divisible by the number (22) 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 200221809006912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353575130247360).

200221809006912 is an abundant number, since it is smaller than the sum of its proper divisors (506928451487808).

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

200221809006912 is a wasteful number, since it uses less digits than its factorization.

200221809006912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 200221809006912 in words is "two hundred trillion, two hundred twenty-one billion, eight hundred nine million, six thousand, nine hundred twelve".