200122011000000 has 4704 divisors, whose sum is σ = 857539060859520. Its totient is φ = 44281036800000.

The previous prime is 200122010999957. The next prime is 200122011000071. The reversal of 200122011000000 is 110221002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 3775886999974 + ... + 3775887000026.

Almost surely, 2^{200122011000000} is an apocalyptic number.

200122011000000 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 200122011000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428769530429760).

200122011000000 is an abundant number, since it is smaller than the sum of its proper divisors (657417049859520).

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

200122011000000 is a wasteful number, since it uses less digits than its factorization.

200122011000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200122011000000 its reverse (110221002), we get a palindrome (200122121221002).

The spelling of 200122011000000 in words is "two hundred trillion, one hundred twenty-two billion, eleven million", and thus it is an aban number.