241833943122121 has 27 divisors (see below), whose sum is σ = 281821035929013. Its totient is φ = 206915531961600.

The previous prime is 241833943122059. The next prime is 241833943122253. The reversal of 241833943122121 is 121221349338142.

The square root of 241833943122121 is 15551011.

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 53508712951225 + 188325230170896 = 7314965^2 + 13723164^2 .

It is not a de Polignac number, because 241833943122121 - 2⁷ = 241833943121993 is a prime.

It is a super-2 number, since 2×241833943122121² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (241833943182121) 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 in 26 ways as a sum of consecutive naturals, for example, 73260811171 + ... + 73260814471.

It is an arithmetic number, because the mean of its divisors is an integer number (10437816145519).

Almost surely, 2^{241833943122121} is an apocalyptic number.

241833943122121 is the 15551011-st square number.

241833943122121 is the 7775506-th centered octagonal number.

It is an amenable number.

241833943122121 is a deficient number, since it is larger than the sum of its proper divisors (39987092806892).

241833943122121 is an frugal number, since it uses more digits than its factorization.

241833943122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7962 (or 3981 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The spelling of 241833943122121 in words is "two hundred forty-one trillion, eight hundred thirty-three billion, nine hundred forty-three million, one hundred twenty-two thousand, one hundred twenty-one".