225216123 has 16 divisors (see below), whose sum is σ = 331737600. Its totient is φ = 134765280.

The previous prime is 225216109. The next prime is 225216179. The reversal of 225216123 is 321612522.

It is not a de Polignac number, because 225216123 - 2⁴ = 225216107 is a prime.

It is a super-3 number, since 3×225216123³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 225216093 and 225216102.

It is not an unprimeable number, because it can be changed into a prime (225216193) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40588 + ... + 45801.

It is an arithmetic number, because the mean of its divisors is an integer number (20733600).

Almost surely, 2^225216123 is an apocalyptic number.

225216123 is a deficient number, since it is larger than the sum of its proper divisors (106521477).

225216123 is a wasteful number, since it uses less digits than its factorization.

225216123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86482.

The product of its digits is 1440, while the sum is 24.

The square root of 225216123 is about 15007.2023708618. The cubic root of 225216123 is about 608.4148785330.

Adding to 225216123 its reverse (321612522), we get a palindrome (546828645).

The spelling of 225216123 in words is "two hundred twenty-five million, two hundred sixteen thousand, one hundred twenty-three".