12221121000 has 384 divisors, whose sum is σ = 42395633280. Its totient is φ = 2928640000.

The previous prime is 12221120981. The next prime is 12221121013. The reversal of 12221121000 is 12112221.

12221121000 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 (12).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 47552872 + ... + 47553128.

It is an arithmetic number, because the mean of its divisors is an integer number (110405295).

Almost surely, 2^12221121000 is an apocalyptic number.

12221121000 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 12221121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21197816640).

12221121000 is an abundant number, since it is smaller than the sum of its proper divisors (30174512280).

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

12221121000 is a wasteful number, since it uses less digits than its factorization.

12221121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12221121000 its reverse (12112221), we get a palindrome (12233233221).

The spelling of 12221121000 in words is "twelve billion, two hundred twenty-one million, one hundred twenty-one thousand".