225427230852120 has 1152 divisors, whose sum is σ = 875679265843200. Its totient is φ = 50065247232000.

The previous prime is 225427230852059. The next prime is 225427230852137. The reversal of 225427230852120 is 21258032724522.

225427230852120 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 2 + 72 + 30 + 8 + 521 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48055258975 + ... + 48055263665.

It is an arithmetic number, because the mean of its divisors is an integer number (760138251600).

Almost surely, 2^{225427230852120} is an apocalyptic number.

225427230852120 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 225427230852120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437839632921600).

225427230852120 is an abundant number, since it is smaller than the sum of its proper divisors (650252034991080).

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

225427230852120 is a wasteful number, since it uses less digits than its factorization.

225427230852120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 225427230852120 in words is "two hundred twenty-five trillion, four hundred twenty-seven billion, two hundred thirty million, eight hundred fifty-two thousand, one hundred twenty".