12205386816 has 224 divisors, whose sum is σ = 38827130880. Its totient is φ = 3308304384.

The previous prime is 12205386811. The next prime is 12205386821. The reversal of 12205386816 is 61868350221.

It is an interprime number because it is at equal distance from previous prime (12205386811) and next prime (12205386821).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12205386811) 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 31 ways as a sum of consecutive naturals, for example, 3924270 + ... + 3927378.

Almost surely, 2^12205386816 is an apocalyptic number.

12205386816 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 12205386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19413565440).

12205386816 is an abundant number, since it is smaller than the sum of its proper divisors (26621744064).

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

12205386816 is a wasteful number, since it uses less digits than its factorization.

12205386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 12205386816 in words is "twelve billion, two hundred five million, three hundred eighty-six thousand, eight hundred sixteen".