12020221112100 has 144 divisors (see below), whose sum is σ = 34848251319168. Its totient is φ = 3198968847360.

The previous prime is 12020221112093. The next prime is 12020221112147. The reversal of 12020221112100 is 121112202021.

12020221112100 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 12020221112100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461362674 + ... + 461388726.

It is an arithmetic number, because the mean of its divisors is an integer number (242001745272).

Almost surely, 2^{12020221112100} is an apocalyptic number.

12020221112100 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 12020221112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424125659584).

12020221112100 is an abundant number, since it is smaller than the sum of its proper divisors (22828030207068).

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

12020221112100 is a wasteful number, since it uses less digits than its factorization.

12020221112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29094 (or 29087 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12020221112100 its reverse (121112202021), we get a palindrome (12141333314121).

The spelling of 12020221112100 in words is "twelve trillion, twenty billion, two hundred twenty-one million, one hundred twelve thousand, one hundred".