82202120 has 128 divisors (see below), whose sum is σ = 248451840. Its totient is φ = 23639040.

The previous prime is 82202119. The next prime is 82202177. The reversal of 82202120 is 2120228.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39014 + ... + 41066.

It is an arithmetic number, because the mean of its divisors is an integer number (1941030).

Almost surely, 2^82202120 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 82202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124225920).

82202120 is an abundant number, since it is smaller than the sum of its proper divisors (166249720).

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

82202120 is a wasteful number, since it uses less digits than its factorization.

82202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 82202120 is about 9066.5384794860. The cubic root of 82202120 is about 434.8048095968.

Adding to 82202120 its reverse (2120228), we get a palindrome (84322348).

It can be divided in two parts, 82 and 202120, that added together give a palindrome (202202).

The spelling of 82202120 in words is "eighty-two million, two hundred two thousand, one hundred twenty".