12932948428800 has 1152 divisors, whose sum is σ = 46329034752000. Its totient is φ = 3173312102400.

The previous prime is 12932948428759. The next prime is 12932948428859. The reversal of 12932948428800 is 882484923921.

It is a super-2 number, since 2×12932948428800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 29460018981 + ... + 29460019419.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176000).

Almost surely, 2^{12932948428800} is an apocalyptic number.

12932948428800 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 12932948428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23164517376000).

12932948428800 is an abundant number, since it is smaller than the sum of its proper divisors (33396086323200).

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

12932948428800 is a wasteful number, since it uses less digits than its factorization.

12932948428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 12932948428800 in words is "twelve trillion, nine hundred thirty-two billion, nine hundred forty-eight million, four hundred twenty-eight thousand, eight hundred".