1218816000000 has 945 divisors, whose sum is σ = 4600760699353. Its totient is φ = 310886400000.

The previous prime is 1218815999873. The next prime is 1218816000011. The reversal of 1218816000000 is 6188121.

The square root of 1218816000000 is 1104000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 1067799822336 + 151016177664 = 1033344^2 + 388608^2 .

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 52991999989 + ... + 52992000011.

Almost surely, 2^{1218816000000} is an apocalyptic number.

1218816000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1218816000000 is the 1104000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1218816000000

1218816000000 is an abundant number, since it is smaller than the sum of its proper divisors (3381944699353).

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

1218816000000 is an frugal number, since it uses more digits than its factorization.

1218816000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The spelling of 1218816000000 in words is "one trillion, two hundred eighteen billion, eight hundred sixteen million", and thus it is an aban number.