225111350301200 has 240 divisors, whose sum is σ = 591557387415936. Its totient is φ = 81642257510400.

The previous prime is 225111350301181. The next prime is 225111350301281. The reversal of 225111350301200 is 2103053111522.

It is a self number, because there is not a number n which added to its sum of digits gives 225111350301200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4610739989 + ... + 4610788811.

Almost surely, 2^{225111350301200} is an apocalyptic number.

225111350301200 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 225111350301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295778693707968).

225111350301200 is an abundant number, since it is smaller than the sum of its proper divisors (366446037114736).

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

225111350301200 is a wasteful number, since it uses less digits than its factorization.

225111350301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51602 (or 51591 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The spelling of 225111350301200 in words is "two hundred twenty-five trillion, one hundred eleven billion, three hundred fifty million, three hundred one thousand, two hundred".