2022120828001 has 2 divisors, whose sum is σ = 2022120828002. Its totient is φ = 2022120828000.

The previous prime is 2022120827929. The next prime is 2022120828043. The reversal of 2022120828001 is 1008280212202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1461980847376 + 560139980625 = 1209124^2 + 748425^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022120828001 - 2¹⁹ = 2022120303713 is a prime.

It is not a weakly prime, because it can be changed into another prime (2022120628001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011060414000 + 1011060414001.

It is an arithmetic number, because the mean of its divisors is an integer number (1011060414001).

Almost surely, 2^{2022120828001} is an apocalyptic number.

It is an amenable number.

2022120828001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022120828001 is an equidigital number, since it uses as much as digits as its factorization.

2022120828001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 2022120828001 in words is "two trillion, twenty-two billion, one hundred twenty million, eight hundred twenty-eight thousand, one".