200201241120 has 96 divisors (see below), whose sum is σ = 631118392128. Its totient is φ = 53345983488.

The previous prime is 200201241077. The next prime is 200201241139. The reversal of 200201241120 is 21142102002.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 200201241120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467802 + ... + 786918.

It is an arithmetic number, because the mean of its divisors is an integer number (6574149918).

Almost surely, 2^200201241120 is an apocalyptic number.

200201241120 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 200201241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315559196064).

200201241120 is an abundant number, since it is smaller than the sum of its proper divisors (430917151008).

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

200201241120 is a wasteful number, since it uses less digits than its factorization.

200201241120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320442 (or 320434 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200201241120 its reverse (21142102002), we get a palindrome (221343343122).

The spelling of 200201241120 in words is "two hundred billion, two hundred one million, two hundred forty-one thousand, one hundred twenty".