122435000233325 has 48 divisors (see below), whose sum is σ = 168454397759760. Its totient is φ = 87710906849280.

The previous prime is 122435000233291. The next prime is 122435000233333. The reversal of 122435000233325 is 523332000534221.

It can be written as a sum of positive squares in 24 ways, for example, as 71475475936489 + 50959524296836 = 8454317^2 + 7138594^2 .

It is not a de Polignac number, because 122435000233325 - 2¹² = 122435000229229 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38399462 + ... + 41465511.

It is an arithmetic number, because the mean of its divisors is an integer number (3509466619995).

Almost surely, 2^{122435000233325} is an apocalyptic number.

It is an amenable number.

122435000233325 is a deficient number, since it is larger than the sum of its proper divisors (46019397526435).

122435000233325 is a wasteful number, since it uses less digits than its factorization.

122435000233325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79865138 (or 79865133 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 122435000233325 its reverse (523332000534221), we get a palindrome (645767000767546).

The spelling of 122435000233325 in words is "one hundred twenty-two trillion, four hundred thirty-five billion, two hundred thirty-three thousand, three hundred twenty-five".