12216458880 has 640 divisors, whose sum is σ = 46800864000. Its totient is φ = 3027787776.

The previous prime is 12216458789. The next prime is 12216458897. The reversal of 12216458880 is 8885461221.

12216458880 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 64 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 79 ways as a sum of consecutive naturals, for example, 77811762 + ... + 77811918.

It is an arithmetic number, because the mean of its divisors is an integer number (73126350).

Almost surely, 2^12216458880 is an apocalyptic number.

12216458880 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 12216458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23400432000).

12216458880 is an abundant number, since it is smaller than the sum of its proper divisors (34584405120).

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

12216458880 is a wasteful number, since it uses less digits than its factorization.

12216458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 12216458880 in words is "twelve billion, two hundred sixteen million, four hundred fifty-eight thousand, eight hundred eighty".