8212202022128 has 120 divisors (see below), whose sum is σ = 18232087530048. Its totient is φ = 3561455996928.

The previous prime is 8212202022091. The next prime is 8212202022133.

8212202022128 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 8212202022094 and 8212202022103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36737225 + ... + 36960087.

Almost surely, 2^{8212202022128} 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 8212202022128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9116043765024).

8212202022128 is an abundant number, since it is smaller than the sum of its proper divisors (10019885507920).

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

8212202022128 is a wasteful number, since it uses less digits than its factorization.

8212202022128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223531 (or 223508 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The spelling of 8212202022128 in words is "eight trillion, two hundred twelve billion, two hundred two million, twenty-two thousand, one hundred twenty-eight".