12807821250000 has 1600 divisors, whose sum is σ = 56124193821696. Its totient is φ = 2752704000000.

The previous prime is 12807821249953. The next prime is 12807821250023. The reversal of 12807821250000 is 5212870821.

12807821250000 is a `hidden beast` number, since 1 + 2 + 80 + 78 + 2 + 1 + 2 + 500 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12048749469 + ... + 12048750531.

Almost surely, 2^{12807821250000} is an apocalyptic number.

12807821250000 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 12807821250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062096910848).

12807821250000 is an abundant number, since it is smaller than the sum of its proper divisors (43316372571696).

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

12807821250000 is an frugal number, since it uses more digits than its factorization.

12807821250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12807821250000 in words is "twelve trillion, eight hundred seven billion, eight hundred twenty-one million, two hundred fifty thousand".