122435005153225 has 24 divisors (see below), whose sum is σ = 153831775575960. Its totient is φ = 96657271710720.

The previous prime is 122435005153207. The next prime is 122435005153243. The reversal of 122435005153225 is 522351500534221.

It is an interprime number because it is at equal distance from previous prime (122435005153207) and next prime (122435005153243).

It can be written as a sum of positive squares in 12 ways, for example, as 32826517090249 + 89608488062976 = 5729443^2 + 9466176^2 .

It is not a de Polignac number, because 122435005153225 - 2¹¹ = 122435005151177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93981514 + ... + 95275363.

It is an arithmetic number, because the mean of its divisors is an integer number (6409657315665).

Almost surely, 2^{122435005153225} is an apocalyptic number.

It is an amenable number.

122435005153225 is a deficient number, since it is larger than the sum of its proper divisors (31396770422735).

122435005153225 is a wasteful number, since it uses less digits than its factorization.

122435005153225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189257229 (or 189257224 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

Adding to 122435005153225 its reverse (522351500534221), we get a palindrome (644786505687446).

The spelling of 122435005153225 in words is "one hundred twenty-two trillion, four hundred thirty-five billion, five million, one hundred fifty-three thousand, two hundred twenty-five".