123353312055200 has 144 divisors (see below), whose sum is σ = 308526288928704. Its totient is φ = 48130820044800.

The previous prime is 123353312055191. The next prime is 123353312055301. The reversal of 123353312055200 is 2550213353321.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226277357 + ... + 226821843.

It is an arithmetic number, because the mean of its divisors is an integer number (2142543673116).

Almost surely, 2^{123353312055200} is an apocalyptic number.

123353312055200 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 123353312055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154263144464352).

123353312055200 is an abundant number, since it is smaller than the sum of its proper divisors (185172976873504).

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

123353312055200 is a wasteful number, since it uses less digits than its factorization.

123353312055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551455 (or 551442 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 35.

The spelling of 123353312055200 in words is "one hundred twenty-three trillion, three hundred fifty-three billion, three hundred twelve million, fifty-five thousand, two hundred".