12100212220120 has 128 divisors (see below), whose sum is σ = 28013616046080. Its totient is φ = 4701052800000.

The previous prime is 12100212220111. The next prime is 12100212220153. The reversal of 12100212220120 is 2102221200121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 12100212220094 and 12100212220103.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 534190795 + ... + 534213445.

It is an arithmetic number, because the mean of its divisors is an integer number (218856375360).

Almost surely, 2^{12100212220120} is an apocalyptic number.

12100212220120 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 12100212220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14006808023040).

12100212220120 is an abundant number, since it is smaller than the sum of its proper divisors (15913403825960).

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

12100212220120 is a wasteful number, since it uses less digits than its factorization.

12100212220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24137 (or 24133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 12100212220120 its reverse (2102221200121), we get a palindrome (14202433420241).

The spelling of 12100212220120 in words is "twelve trillion, one hundred billion, two hundred twelve million, two hundred twenty thousand, one hundred twenty".