123313451552200 has 288 divisors, whose sum is σ = 354842620940160. Its totient is φ = 39022537881600.

The previous prime is 123313451552171. The next prime is 123313451552237. The reversal of 123313451552200 is 2255154313321.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 123313451552200.

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 71 ways as a sum of consecutive naturals, for example, 2855977012 + ... + 2856020188.

It is an arithmetic number, because the mean of its divisors is an integer number (1232092433820).

Almost surely, 2^{123313451552200} is an apocalyptic number.

123313451552200 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 123313451552200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177421310470080).

123313451552200 is an abundant number, since it is smaller than the sum of its proper divisors (231529169387960).

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

123313451552200 is a wasteful number, since it uses less digits than its factorization.

123313451552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55297 (or 55275 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 123313451552200 in words is "one hundred twenty-three trillion, three hundred thirteen billion, four hundred fifty-one million, five hundred fifty-two thousand, two hundred".