12293997049824 has 288 divisors, whose sum is σ = 37794874876416. Its totient is φ = 3488852183040.

The previous prime is 12293997049813. The next prime is 12293997049847. The reversal of 12293997049824 is 42894079939221.

It is a super-2 number, since 2×12293997049824² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 460211892 + ... + 460238604.

It is an arithmetic number, because the mean of its divisors is an integer number (131232204432).

Almost surely, 2^{12293997049824} is an apocalyptic number.

12293997049824 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 12293997049824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897437438208).

12293997049824 is an abundant number, since it is smaller than the sum of its proper divisors (25500877826592).

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

12293997049824 is a wasteful number, since it uses less digits than its factorization.

12293997049824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27398 (or 27383 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 69.

The spelling of 12293997049824 in words is "twelve trillion, two hundred ninety-three billion, nine hundred ninety-seven million, forty-nine thousand, eight hundred twenty-four".