12351923712000 has 3328 divisors, whose sum is σ = 52207677849600. Its totient is φ = 2866544640000.

The previous prime is 12351923711977. The next prime is 12351923712013. The reversal of 12351923712000 is 21732915321.

It is a happy number.

12351923712000 is a `hidden beast` number, since 1 + 235 + 192 + 37 + 1 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 301266431980 + ... + 301266432020.

It is an arithmetic number, because the mean of its divisors is an integer number (15687403200).

Almost surely, 2^{12351923712000} is an apocalyptic number.

12351923712000 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 12351923712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26103838924800).

12351923712000 is an abundant number, since it is smaller than the sum of its proper divisors (39855754137600).

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

12351923712000 is a wasteful number, since it uses less digits than its factorization.

12351923712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 12351923712000 in words is "twelve trillion, three hundred fifty-one billion, nine hundred twenty-three million, seven hundred twelve thousand".