12228181668 has 36 divisors (see below), whose sum is σ = 32728370220. Its totient is φ = 3836292096.

The previous prime is 12228181643. The next prime is 12228181687. The reversal of 12228181668 is 86618182221.

It can be written as a sum of positive squares in 2 ways, for example, as 6863791104 + 5364390564 = 82848^2 + 73242^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12228181668² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 9989733 + ... + 9990956.

It is an arithmetic number, because the mean of its divisors is an integer number (909121395).

Almost surely, 2^12228181668 is an apocalyptic number.

12228181668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12228181668 is an abundant number, since it is smaller than the sum of its proper divisors (20500188552).

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

12228181668 is a wasteful number, since it uses less digits than its factorization.

12228181668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19980716 (or 19980711 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The spelling of 12228181668 in words is "twelve billion, two hundred twenty-eight million, one hundred eighty-one thousand, six hundred sixty-eight".