123068317302000 has 1600 divisors, whose sum is σ = 536704708700160. Its totient is φ = 26553235968000.

The previous prime is 123068317301833. The next prime is 123068317302037. The reversal of 123068317302000 is 203713860321.

123068317302000 is a `hidden beast` number, since 1 + 2 + 30 + 6 + 8 + 317 + 302 + 0 + 0 + 0 = 666.

123068317302000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 319 ways as a sum of consecutive naturals, for example, 6054415837 + ... + 6054436163.

Almost surely, 2^{123068317302000} is an apocalyptic number.

123068317302000 is a gapful number since it is divisible by the number (10) 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 123068317302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268352354350080).

123068317302000 is an abundant number, since it is smaller than the sum of its proper divisors (413636391398160).

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

123068317302000 is a wasteful number, since it uses less digits than its factorization.

123068317302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20669 (or 20644 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 123068317302000 in words is "one hundred twenty-three trillion, sixty-eight billion, three hundred seventeen million, three hundred two thousand".