12948808224000 has 864 divisors, whose sum is σ = 47379236486400. Its totient is φ = 3132180480000.

The previous prime is 12948808223963. The next prime is 12948808224067. The reversal of 12948808224000 is 42280884921.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 6957983070 + ... + 6957984930.

Almost surely, 2^{12948808224000} is an apocalyptic number.

12948808224000 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 12948808224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23689618243200).

12948808224000 is an abundant number, since it is smaller than the sum of its proper divisors (34430428262400).

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

12948808224000 is a wasteful number, since it uses less digits than its factorization.

12948808224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 12948808224000 in words is "twelve trillion, nine hundred forty-eight billion, eight hundred eight million, two hundred twenty-four thousand".