12218182800 has 120 divisors (see below), whose sum is σ = 39181584480. Its totient is φ = 3254630400.

The previous prime is 12218182783. The next prime is 12218182811. The reversal of 12218182800 is 828181221.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 1205755 + ... + 1215845.

It is an arithmetic number, because the mean of its divisors is an integer number (326513204).

Almost surely, 2^12218182800 is an apocalyptic number.

12218182800 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 12218182800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19590792240).

12218182800 is an abundant number, since it is smaller than the sum of its proper divisors (26963401680).

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

12218182800 is a wasteful number, since it uses less digits than its factorization.

12218182800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11121 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The spelling of 12218182800 in words is "twelve billion, two hundred eighteen million, one hundred eighty-two thousand, eight hundred".