8022112129 has 2 divisors, whose sum is σ = 8022112130. Its totient is φ = 8022112128.

The previous prime is 8022112097. The next prime is 8022112169. The reversal of 8022112129 is 9212112208.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7938810000 + 83302129 = 89100^2 + 9127^2 .

It is a cyclic number.

It is not a de Polignac number, because 8022112129 - 2⁵ = 8022112097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 8022112097 and 8022112106.

It is not a weakly prime, because it can be changed into another prime (8022112169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4011056064 + 4011056065.

It is an arithmetic number, because the mean of its divisors is an integer number (4011056065).

Almost surely, 2^8022112129 is an apocalyptic number.

It is an amenable number.

8022112129 is a deficient number, since it is larger than the sum of its proper divisors (1).

8022112129 is an equidigital number, since it uses as much as digits as its factorization.

8022112129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8022112129 is about 89566.2443613664. The cubic root of 8022112129 is about 2001.8409822888.

The spelling of 8022112129 in words is "eight billion, twenty-two million, one hundred twelve thousand, one hundred twenty-nine".