12090947616 has 576 divisors, whose sum is σ = 41678582400. Its totient is φ = 3284582400.

The previous prime is 12090947573. The next prime is 12090947629. The reversal of 12090947616 is 61674909021.

12090947616 is a `hidden beast` number, since 1 + 20 + 9 + 0 + 9 + 4 + 7 + 616 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135853300 + ... + 135853388.

It is an arithmetic number, because the mean of its divisors is an integer number (72358650).

Almost surely, 2^12090947616 is an apocalyptic number.

12090947616 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 12090947616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20839291200).

12090947616 is an abundant number, since it is smaller than the sum of its proper divisors (29587634784).

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

12090947616 is a wasteful number, since it uses less digits than its factorization.

12090947616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 12090947616 in words is "twelve billion, ninety million, nine hundred forty-seven thousand, six hundred sixteen".