242791722121 has 27 divisors (see below), whose sum is σ = 272491418901. Its totient is φ = 216221757024.

The previous prime is 242791722097. The next prime is 242791722127. The reversal of 242791722121 is 121227197242.

The square root of 242791722121 is 492739.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31132838025 + 211658884096 = 176445^2 + 460064^2 .

It is not a de Polignac number, because 242791722121 - 2¹⁵ = 242791689353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242791722127) 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 26 ways as a sum of consecutive naturals, for example, 185761950 + ... + 185763256.

Almost surely, 2^242791722121 is an apocalyptic number.

242791722121 is the 492739-th square number.

242791722121 is the 246370-th centered octagonal number.

It is an amenable number.

242791722121 is a deficient number, since it is larger than the sum of its proper divisors (29699696780).

242791722121 is an frugal number, since it uses more digits than its factorization.

242791722121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 1349 counting only the distinct ones).

The product of its digits is 56448, while the sum is 40.

The spelling of 242791722121 in words is "two hundred forty-two billion, seven hundred ninety-one million, seven hundred twenty-two thousand, one hundred twenty-one".