225018135123200 has 216 divisors, whose sum is σ = 589777996401720. Its totient is φ = 84703962726400.

The previous prime is 225018135123151. The next prime is 225018135123211. The reversal of 225018135123200 is 2321531810522.

It can be written as a sum of positive squares in 12 ways, for example, as 6117351395584 + 218900783727616 = 2473328^2 + 14795296^2 .

It is a super-2 number, since 2×225018135123200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106285510 + ... + 1106488890.

It is an arithmetic number, because the mean of its divisors is an integer number (2730453687045).

Almost surely, 2^{225018135123200} is an apocalyptic number.

225018135123200 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 225018135123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294888998200860).

225018135123200 is an abundant number, since it is smaller than the sum of its proper divisors (364759861278520).

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

225018135123200 is a wasteful number, since it uses less digits than its factorization.

225018135123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213593 (or 213574 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

Adding to 225018135123200 its reverse (2321531810522), we get a palindrome (227339666933722).

The spelling of 225018135123200 in words is "two hundred twenty-five trillion, eighteen billion, one hundred thirty-five million, one hundred twenty-three thousand, two hundred".