12734287104 has 576 divisors, whose sum is σ = 45775134720. Its totient is φ = 3041525760.

The previous prime is 12734287099. The next prime is 12734287109. The reversal of 12734287104 is 40178243721.

It is an interprime number because it is at equal distance from previous prime (12734287099) and next prime (12734287109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12734287109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53281417 + ... + 53281655.

It is an arithmetic number, because the mean of its divisors is an integer number (79470720).

Almost surely, 2^12734287104 is an apocalyptic number.

12734287104 is a gapful number since it is divisible by the number (14) 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 12734287104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22887567360).

12734287104 is an abundant number, since it is smaller than the sum of its proper divisors (33040847616).

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

12734287104 is a wasteful number, since it uses less digits than its factorization.

12734287104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 12734287104 in words is "twelve billion, seven hundred thirty-four million, two hundred eighty-seven thousand, one hundred four".