123302105265696 has 192 divisors, whose sum is σ = 377958764252160. Its totient is φ = 34467932943360.

The previous prime is 123302105265679. The next prime is 123302105265763. The reversal of 123302105265696 is 696562501203321.

123302105265696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996250 + ... + 15735206.

It is an arithmetic number, because the mean of its divisors is an integer number (1968535230480).

Almost surely, 2^{123302105265696} is an apocalyptic number.

123302105265696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123302105265696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188979382126080).

123302105265696 is an abundant number, since it is smaller than the sum of its proper divisors (254656658986464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123302105265696 is a wasteful number, since it uses less digits than its factorization.

123302105265696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14739247 (or 14739239 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 123302105265696 in words is "one hundred twenty-three trillion, three hundred two billion, one hundred five million, two hundred sixty-five thousand, six hundred ninety-six".