12828075246000 has 1920 divisors, whose sum is σ = 56358969937920. Its totient is φ = 2775548160000.

The previous prime is 12828075245987. The next prime is 12828075246001. The reversal of 12828075246000 is 64257082821.

12828075246000 is a `hidden beast` number, since 12 + 8 + 2 + 8 + 0 + 7 + 5 + 24 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12828075246001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6146656957 + ... + 6146659043.

It is an arithmetic number, because the mean of its divisors is an integer number (29353630176).

Almost surely, 2^{12828075246000} is an apocalyptic number.

12828075246000 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 12828075246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179484968960).

12828075246000 is an abundant number, since it is smaller than the sum of its proper divisors (43530894691920).

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

12828075246000 is a wasteful number, since it uses less digits than its factorization.

12828075246000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12828075246000 in words is "twelve trillion, eight hundred twenty-eight billion, seventy-five million, two hundred forty-six thousand".