1022205121 has 24 divisors (see below), whose sum is σ = 1279746216. Its totient is φ = 811077120.

The previous prime is 1022205089. The next prime is 1022205167. The reversal of 1022205121 is 1215022201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6890625 + 1015314496 = 2625^2 + 31864^2 .

It is not a de Polignac number, because 1022205121 - 2⁵ = 1022205089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1022205095 and 1022205104.

It is not an unprimeable number, because it can be changed into a prime (1022205521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40755 + ... + 60871.

It is an arithmetic number, because the mean of its divisors is an integer number (53322759).

Almost surely, 2^1022205121 is an apocalyptic number.

It is an amenable number.

1022205121 is a deficient number, since it is larger than the sum of its proper divisors (257541095).

1022205121 is a wasteful number, since it uses less digits than its factorization.

1022205121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20209 (or 20202 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1022205121 is about 31971.9427154497. The cubic root of 1022205121 is about 1007.3475877297.

Adding to 1022205121 its reverse (1215022201), we get a palindrome (2237227322).

The spelling of 1022205121 in words is "one billion, twenty-two million, two hundred five thousand, one hundred twenty-one".