123312131233200 has 2160 divisors, whose sum is σ = 565135649940960. Its totient is φ = 25312395386880.

The previous prime is 123312131233183. The next prime is 123312131233201. The reversal of 123312131233200 is 2332131213321.

123312131233200 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 21 + 312 + 3 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (123312131233201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 9418165854 + ... + 9418178946.

Almost surely, 2^{123312131233200} is an apocalyptic number.

123312131233200 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 123312131233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282567824970480).

123312131233200 is an abundant number, since it is smaller than the sum of its proper divisors (441823518707760).

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

123312131233200 is a wasteful number, since it uses less digits than its factorization.

123312131233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13221 (or 13160 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 123312131233200 its reverse (2332131213321), we get a palindrome (125644262446521).

The spelling of 123312131233200 in words is "one hundred twenty-three trillion, three hundred twelve billion, one hundred thirty-one million, two hundred thirty-three thousand, two hundred".