121981223229121 has 9 divisors (see below), whose sum is σ = 124326777499491. Its totient is φ = 119679116400792.

The previous prime is 121981223229097. The next prime is 121981223229161. The reversal of 121981223229121 is 121922322189121.

The square root of 121981223229121 is 11044511.

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

It can be written as a sum of positive squares in only one way, i.e., 87935912082225 + 34045311146896 = 9377415^2 + 5834836^2 .

It is not a de Polignac number, because 121981223229121 - 2⁹ = 121981223228609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121981223229161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 585254890 + ... + 585463276.

Almost surely, 2^{121981223229121} is an apocalyptic number.

121981223229121 is the 11044511-st square number.

121981223229121 is the 5522256-th centered octagonal number.

It is an amenable number.

121981223229121 is a deficient number, since it is larger than the sum of its proper divisors (2345554270370).

121981223229121 is an frugal number, since it uses more digits than its factorization.

121981223229121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416880 (or 208440 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The spelling of 121981223229121 in words is "one hundred twenty-one trillion, nine hundred eighty-one billion, two hundred twenty-three million, two hundred twenty-nine thousand, one hundred twenty-one".