12143730456000 has 2688 divisors, whose sum is σ = 52562984527872. Its totient is φ = 2637619200000.

The previous prime is 12143730455963. The next prime is 12143730456023. The reversal of 12143730456000 is 65403734121.

12143730456000 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 3 + 7 + 3 + 0 + 45 + 600 + 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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 80422055925 + ... + 80422056075.

It is an arithmetic number, because the mean of its divisors is an integer number (19554681744).

Almost surely, 2^{12143730456000} is an apocalyptic number.

12143730456000 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 12143730456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26281492263936).

12143730456000 is an abundant number, since it is smaller than the sum of its proper divisors (40419254071872).

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

12143730456000 is a wasteful number, since it uses less digits than its factorization.

12143730456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12143730456000 in words is "twelve trillion, one hundred forty-three billion, seven hundred thirty million, four hundred fifty-six thousand".