201225000 has 96 divisors (see below), whose sum is σ = 629022240. Its totient is φ = 53640000.

The previous prime is 201224963. The next prime is 201225049. The reversal of 201225000 is 522102.

201225000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73659 + ... + 76341.

It is an arithmetic number, because the mean of its divisors is an integer number (6552315).

Almost surely, 2^201225000 is an apocalyptic number.

201225000 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 201225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314511120).

201225000 is an abundant number, since it is smaller than the sum of its proper divisors (427797240).

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

201225000 is an equidigital number, since it uses as much as digits as its factorization.

201225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 201225000 is about 14185.3797975239. The cubic root of 201225000 is about 585.9950921168.

Adding to 201225000 its reverse (522102), we get a palindrome (201747102).

The spelling of 201225000 in words is "two hundred one million, two hundred twenty-five thousand".