12307539271680 has 1568 divisors, whose sum is σ = 46762061121360. Its totient is φ = 3103512330240.

The previous prime is 12307539271591. The next prime is 12307539271697. The reversal of 12307539271680 is 8617293570321.

12307539271680 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 7 + 539 + 27 + 1 + 6 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 848285208576 + 11459254063104 = 921024^2 + 3385152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 52822056844 + ... + 52822057076.

Almost surely, 2^{12307539271680} is an apocalyptic number.

12307539271680 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 12307539271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381030560680).

12307539271680 is an abundant number, since it is smaller than the sum of its proper divisors (34454521849680).

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

12307539271680 is an frugal number, since it uses more digits than its factorization.

12307539271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12307539271680 in words is "twelve trillion, three hundred seven billion, five hundred thirty-nine million, two hundred seventy-one thousand, six hundred eighty".