12289964544000 has 1664 divisors, whose sum is σ = 53392654748160. Its totient is φ = 2749759488000.

The previous prime is 12289964543959. The next prime is 12289964544017. The reversal of 12289964544000 is 44546998221.

12289964544000 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 9 + 96 + 4 + 544 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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, 1976828892 + ... + 1976835108.

It is an arithmetic number, because the mean of its divisors is an integer number (32086931940).

Almost surely, 2^{12289964544000} is an apocalyptic number.

12289964544000 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 12289964544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26696327374080).

12289964544000 is an abundant number, since it is smaller than the sum of its proper divisors (41102690204160).

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

12289964544000 is a wasteful number, since it uses less digits than its factorization.

12289964544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6289 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 12289964544000 in words is "twelve trillion, two hundred eighty-nine billion, nine hundred sixty-four million, five hundred forty-four thousand".