12410216747712 has 336 divisors, whose sum is σ = 41567318188032. Its totient is φ = 3466753136640.

The previous prime is 12410216747707. The next prime is 12410216747713. The reversal of 12410216747712 is 21774761201421.

12410216747712 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 0 + 2 + 167 + 477 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (12410216747713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40922913 + ... + 41225055.

It is an arithmetic number, because the mean of its divisors is an integer number (123712256512).

Almost surely, 2^{12410216747712} is an apocalyptic number.

12410216747712 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 12410216747712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20783659094016).

12410216747712 is an abundant number, since it is smaller than the sum of its proper divisors (29157101440320).

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

12410216747712 is a wasteful number, since it uses less digits than its factorization.

12410216747712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302396 (or 302383 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12410216747712 in words is "twelve trillion, four hundred ten billion, two hundred sixteen million, seven hundred forty-seven thousand, seven hundred twelve".