201200200122000 has 160 divisors (see below), whose sum is σ = 648712434389760. Its totient is φ = 53649830937600.

The previous prime is 201200200121981. The next prime is 201200200122013. The reversal of 201200200122000 is 221002002102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90054421 + ... + 92261579.

It is an arithmetic number, because the mean of its divisors is an integer number (4054452714936).

Almost surely, 2^{201200200122000} is an apocalyptic number.

201200200122000 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 201200200122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324356217194880).

201200200122000 is an abundant number, since it is smaller than the sum of its proper divisors (447512234267760).

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

201200200122000 is a wasteful number, since it uses less digits than its factorization.

201200200122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222378 (or 2222362 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201200200122000 its reverse (221002002102), we get a palindrome (201421202124102).

The spelling of 201200200122000 in words is "two hundred one trillion, two hundred billion, two hundred million, one hundred twenty-two thousand".