1218866314800 has 240 divisors, whose sum is σ = 4075767491328. Its totient is φ = 310779110400.

The previous prime is 1218866314781. The next prime is 1218866314801. The reversal of 1218866314800 is 84136688121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1218866314800.

It is not an unprimeable number, because it can be changed into a prime (1218866314801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87788659 + ... + 87802541.

Almost surely, 2^{1218866314800} is an apocalyptic number.

1218866314800 is a gapful number since it is divisible by the number (10) 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 1218866314800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037883745664).

1218866314800 is an abundant number, since it is smaller than the sum of its proper divisors (2856901176528).

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

1218866314800 is a wasteful number, since it uses less digits than its factorization.

1218866314800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17108 (or 17097 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 1218866314800 in words is "one trillion, two hundred eighteen billion, eight hundred sixty-six million, three hundred fourteen thousand, eight hundred".