20000330011200 has 672 divisors, whose sum is σ = 81891434327040. Its totient is φ = 4151732428800.

The previous prime is 20000330011187. The next prime is 20000330011241. The reversal of 20000330011200 is 211003300002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 374378091 + ... + 374431509.

Almost surely, 2^{20000330011200} is an apocalyptic number.

20000330011200 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 20000330011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40945717163520).

20000330011200 is an abundant number, since it is smaller than the sum of its proper divisors (61891104315840).

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

20000330011200 is a wasteful number, since it uses less digits than its factorization.

20000330011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54475 (or 54460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20000330011200 its reverse (211003300002), we get a palindrome (20211333311202).

It can be divided in two parts, 200003 and 30011200, that added together give a palindrome (30211203).

The spelling of 20000330011200 in words is "twenty trillion, three hundred thirty million, eleven thousand, two hundred".