20000200201200 has 240 divisors, whose sum is σ = 71213900947200. Its totient is φ = 5331288672000.

The previous prime is 20000200201127. The next prime is 20000200201211. The reversal of 20000200201200 is 210200200002.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27187831 + ... + 27913769.

It is an arithmetic number, because the mean of its divisors is an integer number (296724587280).

Almost surely, 2^{20000200201200} is an apocalyptic number.

20000200201200 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 20000200201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35606950473600).

20000200201200 is an abundant number, since it is smaller than the sum of its proper divisors (51213700746000).

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

20000200201200 is a wasteful number, since it uses less digits than its factorization.

20000200201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728517 (or 728500 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20000200201200 its reverse (210200200002), we get a palindrome (20210400401202).

The spelling of 20000200201200 in words is "twenty trillion, two hundred million, two hundred one thousand, two hundred".