1218488848200 has 1152 divisors, whose sum is σ = 4958727621120. Its totient is φ = 275307724800.

The previous prime is 1218488848193. The next prime is 1218488848201. The reversal of 1218488848200 is 28488848121.

It is a happy number.

1218488848200 is a `hidden beast` number, since 1 + 2 + 1 + 8 + 488 + 84 + 82 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1218488848201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 440363217 + ... + 440365983.

It is an arithmetic number, because the mean of its divisors is an integer number (4304451060).

Almost surely, 2^{1218488848200} is an apocalyptic number.

1218488848200 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 1218488848200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479363810560).

1218488848200 is an abundant number, since it is smaller than the sum of its proper divisors (3740238772920).

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

1218488848200 is a wasteful number, since it uses less digits than its factorization.

1218488848200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 54.

The spelling of 1218488848200 in words is "one trillion, two hundred eighteen billion, four hundred eighty-eight million, eight hundred forty-eight thousand, two hundred".