12090226176 has 480 divisors, whose sum is σ = 41916745728. Its totient is φ = 3282370560.

The previous prime is 12090226163. The next prime is 12090226199. The reversal of 12090226176 is 67162209021.

12090226176 is a `hidden beast` number, since 12 + 0 + 9 + 0 + 22 + 617 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12090226176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106993096 + ... + 106993208.

Almost surely, 2^12090226176 is an apocalyptic number.

12090226176 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 12090226176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958372864).

12090226176 is an abundant number, since it is smaller than the sum of its proper divisors (29826519552).

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

12090226176 is a wasteful number, since it uses less digits than its factorization.

12090226176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12090226176 in words is "twelve billion, ninety million, two hundred twenty-six thousand, one hundred seventy-six".