12198216960 has 432 divisors, whose sum is σ = 43563199680. Its totient is φ = 3150151680.

The previous prime is 12198216937. The next prime is 12198216977. The reversal of 12198216960 is 6961289121.

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, 89038012 + ... + 89038148.

It is an arithmetic number, because the mean of its divisors is an integer number (100840740).

Almost surely, 2^12198216960 is an apocalyptic number.

12198216960 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 12198216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21781599840).

12198216960 is an abundant number, since it is smaller than the sum of its proper divisors (31364982720).

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

12198216960 is a wasteful number, since it uses less digits than its factorization.

12198216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 12198216960 in words is "twelve billion, one hundred ninety-eight million, two hundred sixteen thousand, nine hundred sixty".