12193124696896 has 224 divisors, whose sum is σ = 28575170297856. Its totient is φ = 5089174272000.

The previous prime is 12193124696891. The next prime is 12193124696903. The reversal of 12193124696896 is 69869642139121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12193124696891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1488596161 + ... + 1488604351.

It is an arithmetic number, because the mean of its divisors is an integer number (127567724544).

Almost surely, 2^{12193124696896} is an apocalyptic number.

12193124696896 is a gapful number since it is divisible by the number (16) 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 12193124696896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287585148928).

12193124696896 is an abundant number, since it is smaller than the sum of its proper divisors (16382045600960).

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

12193124696896 is a wasteful number, since it uses less digits than its factorization.

12193124696896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9061 (or 9051 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 67.

The spelling of 12193124696896 in words is "twelve trillion, one hundred ninety-three billion, one hundred twenty-four million, six hundred ninety-six thousand, eight hundred ninety-six".