201125320 has 64 divisors (see below), whose sum is σ = 496368000. Its totient is φ = 72737280.

The previous prime is 201125311. The next prime is 201125333. The reversal of 201125320 is 23521102.

It is a junction number, because it is equal to n+sod(n) for n = 201125294 and 201125303.

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, 86412 + ... + 88708.

It is an arithmetic number, because the mean of its divisors is an integer number (7755750).

Almost surely, 2^201125320 is an apocalyptic number.

201125320 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 201125320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248184000).

201125320 is an abundant number, since it is smaller than the sum of its proper divisors (295242680).

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

201125320 is a wasteful number, since it uses less digits than its factorization.

201125320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 201125320 is about 14181.8658857007. The cubic root of 201125320 is about 585.8983154762.

Adding to 201125320 its reverse (23521102), we get a palindrome (224646422).

It can be divided in two parts, 201 and 125320, that added together give a palindrome (125521).

The spelling of 201125320 in words is "two hundred one million, one hundred twenty-five thousand, three hundred twenty".