82120042206 has 48 divisors (see below), whose sum is σ = 189088406208. Its totient is φ = 25668057600.

The previous prime is 82120042153. The next prime is 82120042259. The reversal of 82120042206 is 60224002128.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82120042153) and next prime (82120042259).

It is a self number, because there is not a number n which added to its sum of digits gives 82120042206.

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, 412215 + ... + 578066.

It is an arithmetic number, because the mean of its divisors is an integer number (3939341796).

Almost surely, 2^82120042206 is an apocalyptic number.

82120042206 is an abundant number, since it is smaller than the sum of its proper divisors (106968364002).

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

82120042206 is a wasteful number, since it uses less digits than its factorization.

82120042206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990577 (or 990574 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 82120042206 in words is "eighty-two billion, one hundred twenty million, forty-two thousand, two hundred six".