12221003032100 has 144 divisors (see below), whose sum is σ = 29681112787200. Its totient is φ = 4340458321920.

The previous prime is 12221003031977. The next prime is 12221003032109. The reversal of 12221003032100 is 123030012221.

It is a super-2 number, since 2×12221003032100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (12221003032109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6928154 + ... + 8511246.

It is an arithmetic number, because the mean of its divisors is an integer number (206118838800).

Almost surely, 2^{12221003032100} is an apocalyptic number.

12221003032100 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 12221003032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14840556393600).

12221003032100 is an abundant number, since it is smaller than the sum of its proper divisors (17460109755100).

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

12221003032100 is a wasteful number, since it uses less digits than its factorization.

12221003032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1583382 (or 1583375 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 12221003032100 its reverse (123030012221), we get a palindrome (12344033044321).

The spelling of 12221003032100 in words is "twelve trillion, two hundred twenty-one billion, three million, thirty-two thousand, one hundred".