12006222816 has 192 divisors, whose sum is σ = 38397542400. Its totient is φ = 3208398336.

The previous prime is 12006222791. The next prime is 12006222829. The reversal of 12006222816 is 61822260021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002721 + ... + 1014623.

It is an arithmetic number, because the mean of its divisors is an integer number (199987200).

Almost surely, 2^12006222816 is an apocalyptic number.

12006222816 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 12006222816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19198771200).

12006222816 is an abundant number, since it is smaller than the sum of its proper divisors (26391319584).

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

12006222816 is a wasteful number, since it uses less digits than its factorization.

12006222816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12021 (or 12013 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 12006222816 its reverse (61822260021), we get a palindrome (73828482837).

The spelling of 12006222816 in words is "twelve billion, six million, two hundred twenty-two thousand, eight hundred sixteen".