123300435225353 has 8 divisors (see below), whose sum is σ = 123576730821768. Its totient is φ = 123024356250624.

The previous prime is 123300435225349. The next prime is 123300435225389. The reversal of 123300435225353 is 353522534003321.

It can be written as a sum of positive squares in 4 ways, for example, as 54235742418064 + 69064692807289 = 7364492^2 + 8310517^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123300435225353 - 2² = 123300435225349 is a prime.

It is a super-2 number, since 2×123300435225353² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 123300435225353.

It is not an unprimeable number, because it can be changed into a prime (123300435425353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53015726 + ... + 55292567.

It is an arithmetic number, because the mean of its divisors is an integer number (15447091352721).

Almost surely, 2^{123300435225353} is an apocalyptic number.

It is an amenable number.

123300435225353 is a deficient number, since it is larger than the sum of its proper divisors (276295596415).

123300435225353 is a wasteful number, since it uses less digits than its factorization.

123300435225353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108310843.

The product of its (nonzero) digits is 972000, while the sum is 41.

Adding to 123300435225353 its reverse (353522534003321), we get a palindrome (476822969228674).

The spelling of 123300435225353 in words is "one hundred twenty-three trillion, three hundred billion, four hundred thirty-five million, two hundred twenty-five thousand, three hundred fifty-three".