12123094044672 has 936 divisors, whose sum is σ = 39782164653504. Its totient is φ = 3686758612992.

The previous prime is 12123094044667. The next prime is 12123094044697. The reversal of 12123094044672 is 27644049032121.

12123094044672 is a `hidden beast` number, since 1 + 2 + 1 + 230 + 9 + 404 + 4 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

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, 16316411533 + ... + 16316412275.

It is an arithmetic number, because the mean of its divisors is an integer number (42502312664).

Almost surely, 2^{12123094044672} is an apocalyptic number.

12123094044672 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 12123094044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891082326752).

12123094044672 is an abundant number, since it is smaller than the sum of its proper divisors (27659070608832).

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

12123094044672 is an frugal number, since it uses more digits than its factorization.

12123094044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 12123094044672 in words is "twelve trillion, one hundred twenty-three billion, ninety-four million, forty-four thousand, six hundred seventy-two".