12805702272 has 384 divisors, whose sum is σ = 42790550400. Its totient is φ = 3637370880.

The previous prime is 12805702271. The next prime is 12805702279. The reversal of 12805702272 is 27220750821.

12805702272 is a `hidden beast` number, since 1 + 2 + 80 + 570 + 2 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (12805702271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15446754 + ... + 15447582.

It is an arithmetic number, because the mean of its divisors is an integer number (111433725).

Almost surely, 2^12805702272 is an apocalyptic number.

12805702272 is a gapful number since it is divisible by the number (12) 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 12805702272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395275200).

12805702272 is an abundant number, since it is smaller than the sum of its proper divisors (29984848128).

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

12805702272 is a wasteful number, since it uses less digits than its factorization.

12805702272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 12805702272 in words is "twelve billion, eight hundred five million, seven hundred two thousand, two hundred seventy-two".