22122232012241 has 12 divisors (see below), whose sum is σ = 23530598585052. Its totient is φ = 20782115411904.

The previous prime is 22122232012229. The next prime is 22122232012267. The reversal of 22122232012241 is 14221023222122.

It can be written as a sum of positive squares in 6 ways, for example, as 1000992246016 + 21121239766225 = 1000496^2 + 4595785^2 .

It is a de Polignac number, because none of the positive numbers 2^k-22122232012241 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22122232012241.

It is not an unprimeable number, because it can be changed into a prime (22122232018241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355437470 + ... + 355499703.

It is an arithmetic number, because the mean of its divisors is an integer number (1960883215421).

Almost surely, 2^{22122232012241} is an apocalyptic number.

It is an amenable number.

22122232012241 is a deficient number, since it is larger than the sum of its proper divisors (1408366572811).

22122232012241 is an equidigital number, since it uses as much as digits as its factorization.

22122232012241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710937268 (or 710937239 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 22122232012241 its reverse (14221023222122), we get a palindrome (36343255234363).

The spelling of 22122232012241 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred thirty-two million, twelve thousand, two hundred forty-one".