12824496672672 has 192 divisors, whose sum is σ = 37564141547520. Its totient is φ = 3807190462464.

The previous prime is 12824496672569. The next prime is 12824496672683. The reversal of 12824496672672 is 27627669442821.

It is a super-2 number, since 2×12824496672672² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26520283 + ... + 26999525.

It is an arithmetic number, because the mean of its divisors is an integer number (195646570560).

Almost surely, 2^{12824496672672} is an apocalyptic number.

12824496672672 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 12824496672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782070773760).

12824496672672 is an abundant number, since it is smaller than the sum of its proper divisors (24739644874848).

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

12824496672672 is a wasteful number, since it uses less digits than its factorization.

12824496672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480155 (or 480147 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 66.

The spelling of 12824496672672 in words is "twelve trillion, eight hundred twenty-four billion, four hundred ninety-six million, six hundred seventy-two thousand, six hundred seventy-two".