12216789900 has 576 divisors, whose sum is σ = 48596889600. Its totient is φ = 2569052160.

The previous prime is 12216789889. The next prime is 12216789901. The reversal of 12216789900 is 998761221.

12216789900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (12216789901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15100696 + ... + 15101504.

It is an arithmetic number, because the mean of its divisors is an integer number (84369600).

Almost surely, 2^12216789900 is an apocalyptic number.

12216789900 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 12216789900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24298444800).

12216789900 is an abundant number, since it is smaller than the sum of its proper divisors (36380099700).

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

12216789900 is a wasteful number, since it uses less digits than its factorization.

12216789900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 12216789900 in words is "twelve billion, two hundred sixteen million, seven hundred eighty-nine thousand, nine hundred".