12182921101824 has 240 divisors, whose sum is σ = 35485005108960. Its totient is φ = 3683634380800.

The previous prime is 12182921101783. The next prime is 12182921101829. The reversal of 12182921101824 is 42810112928121.

It is a super-2 number, since 2×12182921101824² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12182921101829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13114015792 + ... + 13114016720.

It is an arithmetic number, because the mean of its divisors is an integer number (147854187954).

Almost surely, 2^{12182921101824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12182921101824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17742502554480).

12182921101824 is an abundant number, since it is smaller than the sum of its proper divisors (23302084007136).

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

12182921101824 is an frugal number, since it uses more digits than its factorization.

12182921101824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 12182921101824 in words is "twelve trillion, one hundred eighty-two billion, nine hundred twenty-one million, one hundred one thousand, eight hundred twenty-four".