225121321152 has 336 divisors, whose sum is σ = 840897675072. Its totient is φ = 55879925760.

The previous prime is 225121321127. The next prime is 225121321157. The reversal of 225121321152 is 251123121522.

225121321152 is a `hidden beast` number, since 2 + 2 + 512 + 1 + 32 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (225121321157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 764752 + ... + 1017392.

It is an arithmetic number, because the mean of its divisors is an integer number (2502671652).

Almost surely, 2^225121321152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225121321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420448837536).

225121321152 is an abundant number, since it is smaller than the sum of its proper divisors (615776353920).

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

225121321152 is a wasteful number, since it uses less digits than its factorization.

225121321152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252696 (or 252683 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 225121321152 its reverse (251123121522), we get a palindrome (476244442674).

The spelling of 225121321152 in words is "two hundred twenty-five billion, one hundred twenty-one million, three hundred twenty-one thousand, one hundred fifty-two".