12430540584000 has 1792 divisors, whose sum is σ = 57567978823680. Its totient is φ = 2582689536000.

The previous prime is 12430540583953. The next prime is 12430540584013. The reversal of 12430540584000 is 48504503421.

It is a happy number.

12430540584000 is a `hidden beast` number, since 1 + 2 + 4 + 30 + 5 + 40 + 584 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×12430540584000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1347187387 + ... + 1347196613.

Almost surely, 2^{12430540584000} is an apocalyptic number.

12430540584000 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 12430540584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28783989411840).

12430540584000 is an abundant number, since it is smaller than the sum of its proper divisors (45137438239680).

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

12430540584000 is an frugal number, since it uses more digits than its factorization.

12430540584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9255 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 12430540584000 in words is "twelve trillion, four hundred thirty billion, five hundred forty million, five hundred eighty-four thousand".