200201120 has 96 divisors (see below), whose sum is σ = 553246848. Its totient is φ = 67027968.

The previous prime is 200201107. The next prime is 200201137. The reversal of 200201120 is 21102002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 200201098 and 200201107.

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, 46082 + ... + 50238.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2^200201120 is an apocalyptic number.

200201120 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 200201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276623424).

200201120 is an abundant number, since it is smaller than the sum of its proper divisors (353045728).

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

200201120 is a wasteful number, since it uses less digits than its factorization.

200201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 200201120 is about 14149.2445027994. The cubic root of 200201120 is about 584.9995081205. Note that the first 3 decimals are identical.

Adding to 200201120 its reverse (21102002), we get a palindrome (221303122).

The spelling of 200201120 in words is "two hundred million, two hundred one thousand, one hundred twenty".