200311221210000 has 400 divisors, whose sum is σ = 671850717700800. Its totient is φ = 51349116672000.

The previous prime is 200311221209951. The next prime is 200311221210041. The reversal of 200311221210000 is 12122113002.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 198727287 + ... + 199732713.

It is an arithmetic number, because the mean of its divisors is an integer number (1679626794252).

Almost surely, 2^{200311221210000} is an apocalyptic number.

200311221210000 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 200311221210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335925358850400).

200311221210000 is an abundant number, since it is smaller than the sum of its proper divisors (471539496490800).

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

200311221210000 is a wasteful number, since it uses less digits than its factorization.

200311221210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005716 (or 1005695 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 200311221210000 its reverse (12122113002), we get a palindrome (200323343323002).

The spelling of 200311221210000 in words is "two hundred trillion, three hundred eleven billion, two hundred twenty-one million, two hundred ten thousand".