12058616416 has 96 divisors (see below), whose sum is σ = 29704727808. Its totient is φ = 4681290240.

The previous prime is 12058616413. The next prime is 12058616431. The reversal of 12058616416 is 61461685021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12058616413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 688666 + ... + 705958.

It is an arithmetic number, because the mean of its divisors is an integer number (309424248).

Almost surely, 2^12058616416 is an apocalyptic number.

12058616416 is a gapful number since it is divisible by the number (16) 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 12058616416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14852363904).

12058616416 is an abundant number, since it is smaller than the sum of its proper divisors (17646111392).

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

12058616416 is a wasteful number, since it uses less digits than its factorization.

12058616416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17604 (or 17596 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 12058616416 in words is "twelve billion, fifty-eight million, six hundred sixteen thousand, four hundred sixteen".