225122120 has 32 divisors (see below), whose sum is σ = 508171320. Its totient is φ = 89756160.

The previous prime is 225122119. The next prime is 225122129. The reversal of 225122120 is 21221522.

225122120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 180579844 + 44542276 = 13438^2 + 6674^2 .

It is not an unprimeable number, because it can be changed into a prime (225122129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3530 + ... + 21510.

Almost surely, 2^225122120 is an apocalyptic number.

225122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225122120 is an abundant number, since it is smaller than the sum of its proper divisors (283049200).

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

225122120 is a wasteful number, since it uses less digits than its factorization.

225122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18305 (or 18301 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 225122120 is about 15004.0701144723. The cubic root of 225122120 is about 608.3302179528.

Adding to 225122120 its reverse (21221522), we get a palindrome (246343642).

The spelling of 225122120 in words is "two hundred twenty-five million, one hundred twenty-two thousand, one hundred twenty".