82120116 has 48 divisors (see below), whose sum is σ = 213022208. Its totient is φ = 24451200.

The previous prime is 82120111. The next prime is 82120121. The reversal of 82120116 is 61102128.

It is an interprime number because it is at equal distance from previous prime (82120111) and next prime (82120121).

It is a junction number, because it is equal to n+sod(n) for n = 82120092 and 82120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82120111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3655 + ... + 13326.

Almost surely, 2^82120116 is an apocalyptic number.

It is an amenable number.

82120116 is an abundant number, since it is smaller than the sum of its proper divisors (130902092).

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

82120116 is a wasteful number, since it uses less digits than its factorization.

82120116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17032 (or 17030 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 82120116 is about 9062.0150077121. The cubic root of 82120116 is about 434.6601758705.

The spelling of 82120116 in words is "eighty-two million, one hundred twenty thousand, one hundred sixteen".