82225081311220 has 48 divisors (see below), whose sum is σ = 173004212505600. Its totient is φ = 32826909715200.

The previous prime is 82225081311193. The next prime is 82225081311221. The reversal of 82225081311220 is 2211318052228.

82225081311220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 82225081311220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82225081311221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46233621 + ... + 47979139.

It is an arithmetic number, because the mean of its divisors is an integer number (3604254427200).

Almost surely, 2^{82225081311220} is an apocalyptic number.

It is an amenable number.

82225081311220 is an abundant number, since it is smaller than the sum of its proper divisors (90779131194380).

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

82225081311220 is a wasteful number, since it uses less digits than its factorization.

82225081311220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750048 (or 1750046 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

Adding to 82225081311220 its reverse (2211318052228), we get a palindrome (84436399363448).

The spelling of 82225081311220 in words is "eighty-two trillion, two hundred twenty-five billion, eighty-one million, three hundred eleven thousand, two hundred twenty".