212301121241 has 24 divisors (see below), whose sum is σ = 235872492072. Its totient is φ = 190921420800.

The previous prime is 212301121229. The next prime is 212301121243. The reversal of 212301121241 is 142121103212.

It can be written as a sum of positive squares in 4 ways, for example, as 1491581641 + 210809539600 = 38621^2 + 459140^2 .

It is not a de Polignac number, because 212301121241 - 2¹⁸ = 212300859097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212301121243) 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, 47802581 + ... + 47807021.

It is an arithmetic number, because the mean of its divisors is an integer number (9828020503).

Almost surely, 2^212301121241 is an apocalyptic number.

It is an amenable number.

212301121241 is a deficient number, since it is larger than the sum of its proper divisors (23571370831).

212301121241 is a wasteful number, since it uses less digits than its factorization.

212301121241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8633 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 212301121241 its reverse (142121103212), we get a palindrome (354422224453).

The spelling of 212301121241 in words is "two hundred twelve billion, three hundred one million, one hundred twenty-one thousand, two hundred forty-one".