82213211231228 has 144 divisors (see below), whose sum is σ = 191274593626368. Its totient is φ = 30516393600000.

The previous prime is 82213211231209. The next prime is 82213211231243.

82213211231228 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 82213211231191 and 82213211231200.

It is a congruent number.

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, 9143948 + ... + 15749228.

It is an arithmetic number, because the mean of its divisors is an integer number (1328295789072).

Almost surely, 2^{82213211231228} 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 82213211231228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95637296813184).

82213211231228 is an abundant number, since it is smaller than the sum of its proper divisors (109061382395140).

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

82213211231228 is a wasteful number, since it uses less digits than its factorization.

82213211231228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6605584 (or 6605575 counting only the distinct ones).

The product of its digits is 36864, while the sum is 38.

It can be divided in two parts, 8221321 and 1231228, that added together give a palindrome (9452549).

The spelling of 82213211231228 in words is "eighty-two trillion, two hundred thirteen billion, two hundred eleven million, two hundred thirty-one thousand, two hundred twenty-eight".