12873459006252 has 144 divisors (see below), whose sum is σ = 35109779927040. Its totient is φ = 3953683440000.

The previous prime is 12873459006193. The next prime is 12873459006253. The reversal of 12873459006252 is 25260095437821.

12873459006252 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 3 + 4 + 5 + 9 + 0 + 0 + 625 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (12873459006253) 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, 566128699 + ... + 566151437.

It is an arithmetic number, because the mean of its divisors is an integer number (243817916160).

It is a 1-persistent number, because it is pandigital, but 2⋅12873459006252 = 25746918012504 is not.

Almost surely, 2^{12873459006252} is an apocalyptic number.

12873459006252 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 12873459006252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554889963520).

12873459006252 is an abundant number, since it is smaller than the sum of its proper divisors (22236320920788).

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

12873459006252 is a wasteful number, since it uses less digits than its factorization.

12873459006252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24964 (or 24959 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 12873459006252 in words is "twelve trillion, eight hundred seventy-three billion, four hundred fifty-nine million, six thousand, two hundred fifty-two".