123313010032200 has 192 divisors, whose sum is σ = 387688406353920. Its totient is φ = 32417479584000.

The previous prime is 123313010032171. The next prime is 123313010032241. The reversal of 123313010032200 is 2230010313321.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 509843697 + ... + 510085503.

It is an arithmetic number, because the mean of its divisors is an integer number (2019210449760).

Almost surely, 2^{123313010032200} is an apocalyptic number.

123313010032200 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 123313010032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193844203176960).

123313010032200 is an abundant number, since it is smaller than the sum of its proper divisors (264375396321720).

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

123313010032200 is a wasteful number, since it uses less digits than its factorization.

123313010032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253868 (or 253859 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 123313010032200 its reverse (2230010313321), we get a palindrome (125543020345521).

The spelling of 123313010032200 in words is "one hundred twenty-three trillion, three hundred thirteen billion, ten million, thirty-two thousand, two hundred".