12331200123000 has 768 divisors, whose sum is σ = 46763668224000. Its totient is φ = 2904460416000.

The previous prime is 12331200122987. The next prime is 12331200123007. The reversal of 12331200123000 is 32100213321.

12331200123000 is a `hidden beast` number, since 1 + 2 + 331 + 20 + 0 + 12 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331200123007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3146515041 + ... + 3146518959.

It is an arithmetic number, because the mean of its divisors is an integer number (60890193000).

Almost surely, 2^{12331200123000} is an apocalyptic number.

12331200123000 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 12331200123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381834112000).

12331200123000 is an abundant number, since it is smaller than the sum of its proper divisors (34432468101000).

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

12331200123000 is a wasteful number, since it uses less digits than its factorization.

12331200123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4836 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12331200123000 its reverse (32100213321), we get a palindrome (12363300336321).

The spelling of 12331200123000 in words is "twelve trillion, three hundred thirty-one billion, two hundred million, one hundred twenty-three thousand".