12243464064000 has 1408 divisors, whose sum is σ = 50418179884800. Its totient is φ = 2909542809600.

The previous prime is 12243464063989. The next prime is 12243464064089. The reversal of 12243464064000 is 46046434221.

12243464064000 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 3 + 4 + 6 + 4 + 0 + 640 + 0 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 1302907302 + ... + 1302916698.

Almost surely, 2^{12243464064000} is an apocalyptic number.

12243464064000 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 12243464064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25209089942400).

12243464064000 is an abundant number, since it is smaller than the sum of its proper divisors (38174715820800).

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

12243464064000 is a wasteful number, since it uses less digits than its factorization.

12243464064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 12243464064000 in words is "twelve trillion, two hundred forty-three billion, four hundred sixty-four million, sixty-four thousand".