12812577049272 has 1024 divisors, whose sum is σ = 45987869491200. Its totient is φ = 2864446986240.

The previous prime is 12812577049229. The next prime is 12812577049301. The reversal of 12812577049272 is 27294077521821.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14510279343 + ... + 14510280225.

It is an arithmetic number, because the mean of its divisors is an integer number (44910028800).

Almost surely, 2^{12812577049272} is an apocalyptic number.

12812577049272 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 12812577049272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22993934745600).

12812577049272 is an abundant number, since it is smaller than the sum of its proper divisors (33175292441928).

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

12812577049272 is a wasteful number, since it uses less digits than its factorization.

12812577049272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 57.

The spelling of 12812577049272 in words is "twelve trillion, eight hundred twelve billion, five hundred seventy-seven million, forty-nine thousand, two hundred seventy-two".