12531884664000 has 896 divisors, whose sum is σ = 46288946995200. Its totient is φ = 2966575104000.

The previous prime is 12531884663983. The next prime is 12531884664001. The reversal of 12531884664000 is 46648813521.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (12531884664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1576532026 + ... + 1576539974.

It is an arithmetic number, because the mean of its divisors is an integer number (51661771200).

Almost surely, 2^{12531884664000} is an apocalyptic number.

12531884664000 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 12531884664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23144473497600).

12531884664000 is an abundant number, since it is smaller than the sum of its proper divisors (33757062331200).

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

12531884664000 is a wasteful number, since it uses less digits than its factorization.

12531884664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8186 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 12531884664000 in words is "twelve trillion, five hundred thirty-one billion, eight hundred eighty-four million, six hundred sixty-four thousand".