225016324120 has 192 divisors, whose sum is σ = 650704466880. Its totient is φ = 69453103104.

The previous prime is 225016323971. The next prime is 225016324121. The reversal of 225016324120 is 21423610522.

It is a super-2 number, since 2×225016324120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225016324121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619552 + ... + 913168.

It is an arithmetic number, because the mean of its divisors is an integer number (3389085765).

Almost surely, 2^225016324120 is an apocalyptic number.

225016324120 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 225016324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325352233440).

225016324120 is an abundant number, since it is smaller than the sum of its proper divisors (425688142760).

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

225016324120 is a wasteful number, since it uses less digits than its factorization.

225016324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293682 (or 293671 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 225016324120 its reverse (21423610522), we get a palindrome (246439934642).

The spelling of 225016324120 in words is "two hundred twenty-five billion, sixteen million, three hundred twenty-four thousand, one hundred twenty".