12241733614000 has 640 divisors, whose sum is σ = 33313617792000. Its totient is φ = 4313548800000.

The previous prime is 12241733613971. The next prime is 12241733614043. The reversal of 12241733614000 is 41633714221.

It is a super-2 number, since 2×12241733614000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30528013800 + ... + 30528014200.

It is an arithmetic number, because the mean of its divisors is an integer number (52052527800).

Almost surely, 2^{12241733614000} is an apocalyptic number.

12241733614000 is a gapful number since it is divisible by the number (10) 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 12241733614000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656808896000).

12241733614000 is an abundant number, since it is smaller than the sum of its proper divisors (21071884178000).

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

12241733614000 is a wasteful number, since it uses less digits than its factorization.

12241733614000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 12241733614000 in words is "twelve trillion, two hundred forty-one billion, seven hundred thirty-three million, six hundred fourteen thousand".