225120341000000 has 784 divisors, whose sum is σ = 632963866708800. Its totient is φ = 78923059200000.

The previous prime is 225120340999997. The next prime is 225120341000003. The reversal of 225120341000000 is 143021522.

It is an interprime number because it is at equal distance from previous prime (225120340999997) and next prime (225120341000003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225120341000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19056994094 + ... + 19057005906.

Almost surely, 2^{225120341000000} is an apocalyptic number.

225120341000000 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 225120341000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316481933354400).

225120341000000 is an abundant number, since it is smaller than the sum of its proper divisors (407843525708800).

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

225120341000000 is an equidigital number, since it uses as much as digits as its factorization.

225120341000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11950 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 225120341000000 its reverse (143021522), we get a palindrome (225120484021522).

The spelling of 225120341000000 in words is "two hundred twenty-five trillion, one hundred twenty billion, three hundred forty-one million", and thus it is an aban number.