201125220 has 96 divisors (see below), whose sum is σ = 583607808. Its totient is φ = 51720192.

The previous prime is 201125219. The next prime is 201125227. The reversal of 201125220 is 22521102.

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 201125220.

It is not an unprimeable number, because it can be changed into a prime (201125227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205372 + ... + 206348.

It is an arithmetic number, because the mean of its divisors is an integer number (6079248).

Almost surely, 2^201125220 is an apocalyptic number.

201125220 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 201125220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291803904).

201125220 is an abundant number, since it is smaller than the sum of its proper divisors (382482588).

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

201125220 is a wasteful number, since it uses less digits than its factorization.

201125220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 201125220 is about 14181.8623600710. The cubic root of 201125220 is about 585.8982183728.

Adding to 201125220 its reverse (22521102), we get a palindrome (223646322).

The spelling of 201125220 in words is "two hundred one million, one hundred twenty-five thousand, two hundred twenty".