12113064413184 has 192 divisors, whose sum is σ = 36916924262400. Its totient is φ = 3459944300544.

The previous prime is 12113064413173. The next prime is 12113064413213. The reversal of 12113064413184 is 48131446031121.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168512419 + ... + 168584285.

It is an arithmetic number, because the mean of its divisors is an integer number (192275647200).

Almost surely, 2^{12113064413184} is an apocalyptic number.

12113064413184 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 12113064413184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18458462131200).

12113064413184 is an abundant number, since it is smaller than the sum of its proper divisors (24803859849216).

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

12113064413184 is an equidigital number, since it uses as much as digits as its factorization.

12113064413184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75818 (or 75798 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 12113064413184 in words is "twelve trillion, one hundred thirteen billion, sixty-four million, four hundred thirteen thousand, one hundred eighty-four".