122311145200225 has 12 divisors (see below), whose sum is σ = 151706448564796. Its totient is φ = 97822704214080.

The previous prime is 122311145200201. The next prime is 122311145200259. The reversal of 122311145200225 is 522002541113221.

It can be written as a sum of positive squares in 6 ways, for example, as 577679042704 + 121733466157521 = 760052^2 + 11033289^2 .

It is not a de Polignac number, because 122311145200225 - 2¹⁷ = 122311145069153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655203462 + ... + 655390111.

Almost surely, 2^{122311145200225} is an apocalyptic number.

It is an amenable number.

122311145200225 is a deficient number, since it is larger than the sum of its proper divisors (29395303364571).

122311145200225 is a wasteful number, since it uses less digits than its factorization.

122311145200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310597316 (or 1310597311 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 122311145200225 its reverse (522002541113221), we get a palindrome (644313686313446).

The spelling of 122311145200225 in words is "one hundred twenty-two trillion, three hundred eleven billion, one hundred forty-five million, two hundred thousand, two hundred twenty-five".