12216121008 has 480 divisors, whose sum is σ = 42747264000. Its totient is φ = 2970519552.

The previous prime is 12216121007. The next prime is 12216121061. The reversal of 12216121008 is 80012161221.

It is a super-2 number, since 2×12216121008² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12216121007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20393893 + ... + 20394491.

It is an arithmetic number, because the mean of its divisors is an integer number (89056800).

Almost surely, 2^12216121008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12216121008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21373632000).

12216121008 is an abundant number, since it is smaller than the sum of its proper divisors (30531142992).

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

12216121008 is a wasteful number, since it uses less digits than its factorization.

12216121008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 12216121008 its reverse (80012161221), we get a palindrome (92228282229).

The spelling of 12216121008 in words is "twelve billion, two hundred sixteen million, one hundred twenty-one thousand, eight".