122435031323345 has 32 divisors (see below), whose sum is σ = 158942867116320. Its totient is φ = 90002767841280.

The previous prime is 122435031323321. The next prime is 122435031323417. The reversal of 122435031323345 is 543323130534221.

It can be written as a sum of positive squares in 16 ways, for example, as 81318119734336 + 41116911589009 = 9017656^2 + 6412247^2 .

It is not a de Polignac number, because 122435031323345 - 2⁸ = 122435031323089 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83477435 + ... + 84931455.

It is an arithmetic number, because the mean of its divisors is an integer number (4966964597385).

Almost surely, 2^{122435031323345} is an apocalyptic number.

It is an amenable number.

122435031323345 is a deficient number, since it is larger than the sum of its proper divisors (36507835792975).

122435031323345 is a wasteful number, since it uses less digits than its factorization.

122435031323345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459925.

The product of its (nonzero) digits is 777600, while the sum is 41.

Adding to 122435031323345 its reverse (543323130534221), we get a palindrome (665758161857566).

The spelling of 122435031323345 in words is "one hundred twenty-two trillion, four hundred thirty-five billion, thirty-one million, three hundred twenty-three thousand, three hundred forty-five".