200822227510128 has 320 divisors, whose sum is σ = 618394738870272. Its totient is φ = 54965391298560.

The previous prime is 200822227510111. The next prime is 200822227510147. The reversal of 200822227510128 is 821015722228002.

It is a super-2 number, since 2×200822227510128² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 200822227510128.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 221072538 + ... + 221979078.

Almost surely, 2^{200822227510128} is an apocalyptic number.

200822227510128 is a gapful number since it is divisible by the number (28) 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 200822227510128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309197369435136).

200822227510128 is an abundant number, since it is smaller than the sum of its proper divisors (417572511360144).

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

200822227510128 is a wasteful number, since it uses less digits than its factorization.

200822227510128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906872 (or 906866 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 200822227510128 in words is "two hundred trillion, eight hundred twenty-two billion, two hundred twenty-seven million, five hundred ten thousand, one hundred twenty-eight".