8213222223128 has 64 divisors (see below), whose sum is σ = 16788694940640. Its totient is φ = 3744044365824.

The previous prime is 8213222223109. The next prime is 8213222223137.

It is a happy number.

8213222223128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8213222223091 and 8213222223100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32615750 + ... + 32866602.

Almost surely, 2^{8213222223128} 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 8213222223128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394347470320).

8213222223128 is an abundant number, since it is smaller than the sum of its proper divisors (8575472717512).

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

8213222223128 is a wasteful number, since it uses less digits than its factorization.

8213222223128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254748 (or 254744 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The spelling of 8213222223128 in words is "eight trillion, two hundred thirteen billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty-eight".