225122204210000 has 100 divisors (see below), whose sum is σ = 545364590258532. Its totient is φ = 89995811328000.

The previous prime is 225122204209891. The next prime is 225122204210039. The reversal of 225122204210000 is 12402221522.

It can be written as a sum of positive squares in 10 ways, for example, as 158287197338176 + 66835006871824 = 12581224^2 + 8175268^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10337054 + ... + 23602946.

Almost surely, 2^{225122204210000} is an apocalyptic number.

225122204210000 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 225122204210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272682295129266).

225122204210000 is an abundant number, since it is smaller than the sum of its proper divisors (320242386048532).

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

225122204210000 is a wasteful number, since it uses less digits than its factorization.

225122204210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13267618 (or 13267597 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 225122204210000 its reverse (12402221522), we get a palindrome (225134606431522).

The spelling of 225122204210000 in words is "two hundred twenty-five trillion, one hundred twenty-two billion, two hundred four million, two hundred ten thousand".