225600075012 has 192 divisors, whose sum is σ = 588910694400. Its totient is φ = 66780447744.

The previous prime is 225600075011. The next prime is 225600075013. The reversal of 225600075012 is 210570006522.

225600075012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225600075011) and next prime (225600075013).

It is not an unprimeable number, because it can be changed into a prime (225600075011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107478739 + ... + 107480837.

It is an arithmetic number, because the mean of its divisors is an integer number (3067243200).

Almost surely, 2^225600075012 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 225600075012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294455347200).

225600075012 is an abundant number, since it is smaller than the sum of its proper divisors (363310619388).

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

225600075012 is a wasteful number, since it uses less digits than its factorization.

225600075012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 225600075012 in words is "two hundred twenty-five billion, six hundred million, seventy-five thousand, twelve".