12804910272 has 1008 divisors, whose sum is σ = 51772401408. Its totient is φ = 3045703680.

The previous prime is 12804910249. The next prime is 12804910291. The reversal of 12804910272 is 27201940821.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×12804910272³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 346078638 + ... + 346078674.

Almost surely, 2^12804910272 is an apocalyptic number.

12804910272 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 12804910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25886200704).

12804910272 is an abundant number, since it is smaller than the sum of its proper divisors (38967491136).

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

12804910272 is a wasteful number, since it uses less digits than its factorization.

12804910272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 12804910272 in words is "twelve billion, eight hundred four million, nine hundred ten thousand, two hundred seventy-two".