12218618880 has 528 divisors, whose sum is σ = 47109821760. Its totient is φ = 3001909248.

The previous prime is 12218618869. The next prime is 12218618897. The reversal of 12218618880 is 8881681221.

12218618880 is a `hidden beast` number, since 1 + 2 + 21 + 8 + 618 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23362299 + ... + 23362821.

Almost surely, 2^12218618880 is an apocalyptic number.

12218618880 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 12218618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23554910880).

12218618880 is an abundant number, since it is smaller than the sum of its proper divisors (34891202880).

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

12218618880 is a wasteful number, since it uses less digits than its factorization.

12218618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 45.

The spelling of 12218618880 in words is "twelve billion, two hundred eighteen million, six hundred eighteen thousand, eight hundred eighty".