12634184090112 has 720 divisors, whose sum is σ = 38576170425408. Its totient is φ = 3652293427200.

The previous prime is 12634184090027. The next prime is 12634184090183. The reversal of 12634184090112 is 21109048143621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83670093237 + ... + 83670093387.

Almost surely, 2^{12634184090112} is an apocalyptic number.

12634184090112 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 12634184090112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19288085212704).

12634184090112 is an abundant number, since it is smaller than the sum of its proper divisors (25941986335296).

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

12634184090112 is an equidigital number, since it uses as much as digits as its factorization.

12634184090112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 12634184090112 in words is "twelve trillion, six hundred thirty-four billion, one hundred eighty-four million, ninety thousand, one hundred twelve".