225115010120 has 576 divisors, whose sum is σ = 718827747840. Its totient is φ = 62647603200.

The previous prime is 225115010111. The next prime is 225115010161. The reversal of 225115010120 is 21010511522.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 225115010092 and 225115010101.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112951844 + ... + 112953836.

It is an arithmetic number, because the mean of its divisors is an integer number (1247964840).

Almost surely, 2^225115010120 is an apocalyptic number.

225115010120 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 225115010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359413873920).

225115010120 is an abundant number, since it is smaller than the sum of its proper divisors (493712737720).

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

225115010120 is a wasteful number, since it uses less digits than its factorization.

225115010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 225115010120 its reverse (21010511522), we get a palindrome (246125521642).

The spelling of 225115010120 in words is "two hundred twenty-five billion, one hundred fifteen million, ten thousand, one hundred twenty".