200330211120000 has 640 divisors, whose sum is σ = 716287564608000. Its totient is φ = 49298844672000.

The previous prime is 200330211119993. The next prime is 200330211120001. The reversal of 200330211120000 is 21112033002.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200330211120001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17094474141 + ... + 17094485859.

It is an arithmetic number, because the mean of its divisors is an integer number (1119199319700).

Almost surely, 2^{200330211120000} is an apocalyptic number.

200330211120000 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 200330211120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358143782304000).

200330211120000 is an abundant number, since it is smaller than the sum of its proper divisors (515957353488000).

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

200330211120000 is a wasteful number, since it uses less digits than its factorization.

200330211120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17248 (or 17221 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 200330211120000 its reverse (21112033002), we get a palindrome (200351323153002).

The spelling of 200330211120000 in words is "two hundred trillion, three hundred thirty billion, two hundred eleven million, one hundred twenty thousand".