200201121120 has 576 divisors, whose sum is σ = 853161845760. Its totient is φ = 38399201280.

The previous prime is 200201121101. The next prime is 200201121121. The reversal of 200201121120 is 21121102002.

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 = 200201121096 and 200201121105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200201121121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5266341 + ... + 5304219.

It is an arithmetic number, because the mean of its divisors is an integer number (1481183760).

Almost surely, 2^200201121120 is an apocalyptic number.

200201121120 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 200201121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426580922880).

200201121120 is an abundant number, since it is smaller than the sum of its proper divisors (652960724640).

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

200201121120 is a wasteful number, since it uses less digits than its factorization.

200201121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37939 (or 37920 counting only the distinct ones).

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

Adding to 200201121120 its reverse (21121102002), we get a palindrome (221322223122).

The spelling of 200201121120 in words is "two hundred billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty".