225201027200 has 72 divisors (see below), whose sum is σ = 556383235455. Its totient is φ = 90069672960.

The previous prime is 225201027167. The next prime is 225201027203. The reversal of 225201027200 is 2720102522.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 170516140096 + 54684887104 = 412936^2 + 233848^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=335560.

It is not an unprimeable number, because it can be changed into a prime (225201027203) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 26840606 + ... + 26848994.

Almost surely, 2^225201027200 is an apocalyptic number.

225201027200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225201027200 is an abundant number, since it is smaller than the sum of its proper divisors (331182208255).

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

225201027200 is an frugal number, since it uses more digits than its factorization.

225201027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16802 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

Adding to 225201027200 its reverse (2720102522), we get a palindrome (227921129722).

The spelling of 225201027200 in words is "two hundred twenty-five billion, two hundred one million, twenty-seven thousand, two hundred".