123313200133200 has 240 divisors, whose sum is σ = 492484095238656. Its totient is φ = 25623522086400.

The previous prime is 123313200133171. The next prime is 123313200133217. The reversal of 123313200133200 is 2331002313321.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×123313200133200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 667186822 + ... + 667371621.

Almost surely, 2^{123313200133200} is an apocalyptic number.

123313200133200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123313200133200 is an abundant number, since it is smaller than the sum of its proper divisors (369170895105456).

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

123313200133200 is a wasteful number, since it uses less digits than its factorization.

123313200133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334558482 (or 1334558471 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123313200133200 its reverse (2331002313321), we get a palindrome (125644202446521).

The spelling of 123313200133200 in words is "one hundred twenty-three trillion, three hundred thirteen billion, two hundred million, one hundred thirty-three thousand, two hundred".