200201200120120 has 128 divisors (see below), whose sum is σ = 479325670387200. Its totient is φ = 75041056157184.

The previous prime is 200201200120081. The next prime is 200201200120247. The reversal of 200201200120120 is 21021002102002.

It is a happy number.

200201200120120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 200201200120120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65273719 + ... + 68271961.

It is an arithmetic number, because the mean of its divisors is an integer number (3744731799900).

Almost surely, 2^{200201200120120} is an apocalyptic number.

200201200120120 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 200201200120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239662835193600).

200201200120120 is an abundant number, since it is smaller than the sum of its proper divisors (279124470267080).

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

200201200120120 is a wasteful number, since it uses less digits than its factorization.

200201200120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999229 (or 2999225 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200201200120120 its reverse (21021002102002), we get a palindrome (221222202222122).

The spelling of 200201200120120 in words is "two hundred trillion, two hundred one billion, two hundred million, one hundred twenty thousand, one hundred twenty".