225112421125 has 32 divisors (see below), whose sum is σ = 297548585568. Its totient is φ = 169449472000.

The previous prime is 225112421029. The next prime is 225112421143. The reversal of 225112421125 is 521124211522.

It can be written as a sum of positive squares in 16 ways, for example, as 82664300196 + 142448120929 = 287514^2 + 377423^2 .

It is not a de Polignac number, because 225112421125 - 2⁹ = 225112420613 is a prime.

It is a super-3 number, since 3×225112421125³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 225112421093 and 225112421102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8948565 + ... + 8973685.

It is an arithmetic number, because the mean of its divisors is an integer number (9298393299).

Almost surely, 2^225112421125 is an apocalyptic number.

225112421125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

225112421125 is a deficient number, since it is larger than the sum of its proper divisors (72436164443).

225112421125 is a wasteful number, since it uses less digits than its factorization.

225112421125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29370 (or 29360 counting only the distinct ones).

The product of its digits is 3200, while the sum is 28.

Adding to 225112421125 its reverse (521124211522), we get a palindrome (746236632647).

The spelling of 225112421125 in words is "two hundred twenty-five billion, one hundred twelve million, four hundred twenty-one thousand, one hundred twenty-five".