225373221120 has 576 divisors, whose sum is σ = 776340633600. Its totient is φ = 55552573440.

The previous prime is 225373221119. The next prime is 225373221137. The reversal of 225373221120 is 21122373522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 720042084 + ... + 720042396.

It is an arithmetic number, because the mean of its divisors is an integer number (1347813600).

Almost surely, 2^225373221120 is an apocalyptic number.

225373221120 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 225373221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388170316800).

225373221120 is an abundant number, since it is smaller than the sum of its proper divisors (550967412480).

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

225373221120 is a wasteful number, since it uses less digits than its factorization.

225373221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 225373221120 its reverse (21122373522), we get a palindrome (246495594642).

The spelling of 225373221120 in words is "two hundred twenty-five billion, three hundred seventy-three million, two hundred twenty-one thousand, one hundred twenty".