12047119042816 has 729 divisors, whose sum is σ = 30151089212769. Its totient is φ = 4798166630400.

The previous prime is 12047119042801. The next prime is 12047119042837. The reversal of 12047119042816 is 61824091174021.

The square root of 12047119042816 is 3470896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 11089539369216 + 957579673600 = 3330096^2 + 978560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 293832171756 + ... + 293832171796.

Almost surely, 2^{12047119042816} is an apocalyptic number.

12047119042816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12047119042816 is the 3470896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12047119042816

12047119042816 is an abundant number, since it is smaller than the sum of its proper divisors (18103970169953).

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

12047119042816 is an equidigital number, since it uses as much as digits as its factorization.

12047119042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 12047119042816 in words is "twelve trillion, forty-seven billion, one hundred nineteen million, forty-two thousand, eight hundred sixteen".