12221003100 has 144 divisors (see below), whose sum is σ = 36861390720. Its totient is φ = 3122246400.

The previous prime is 12221003099. The next prime is 12221003107. The reversal of 12221003100 is 130012221.

It is a super-2 number, since 2×12221003100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12221003107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1134339 + ... + 1145061.

It is an arithmetic number, because the mean of its divisors is an integer number (255981880).

Almost surely, 2^12221003100 is an apocalyptic number.

12221003100 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 12221003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18430695360).

12221003100 is an abundant number, since it is smaller than the sum of its proper divisors (24640387620).

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

12221003100 is a wasteful number, since it uses less digits than its factorization.

12221003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 12221003100 its reverse (130012221), we get a palindrome (12351015321).

The spelling of 12221003100 in words is "twelve billion, two hundred twenty-one million, three thousand, one hundred".