82129122 has 48 divisors (see below), whose sum is σ = 184384512. Its totient is φ = 26399520.

The previous prime is 82129087. The next prime is 82129129. The reversal of 82129122 is 22192128.

It is not an unprimeable number, because it can be changed into a prime (82129129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84097 + ... + 85067.

It is an arithmetic number, because the mean of its divisors is an integer number (3841344).

Almost surely, 2^82129122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82129122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92192256).

82129122 is an abundant number, since it is smaller than the sum of its proper divisors (102255390).

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

82129122 is a wasteful number, since it uses less digits than its factorization.

82129122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1140 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 82129122 is about 9062.5119034405. The cubic root of 82129122 is about 434.6760648172.

The spelling of 82129122 in words is "eighty-two million, one hundred twenty-nine thousand, one hundred twenty-two".