200201200011120 has 640 divisors, whose sum is σ = 782146002880512. Its totient is φ = 41150398464000.

The previous prime is 200201200011107. The next prime is 200201200011149. The reversal of 200201200011120 is 21110002102002.

It is a super-3 number, since 3×200201200011120³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 200201200011096 and 200201200011105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2047479672 + ... + 2047577448.

Almost surely, 2^{200201200011120} is an apocalyptic number.

200201200011120 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 200201200011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391073001440256).

200201200011120 is an abundant number, since it is smaller than the sum of its proper divisors (581944802869392).

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

200201200011120 is a wasteful number, since it uses less digits than its factorization.

200201200011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99009 (or 99003 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200201200011120 its reverse (21110002102002), we get a palindrome (221311202113122).

The spelling of 200201200011120 in words is "two hundred trillion, two hundred one billion, two hundred million, eleven thousand, one hundred twenty".