12100220112120 has 64 divisors (see below), whose sum is σ = 41486468958720. Its totient is φ = 2765764596864.

The previous prime is 12100220112031. The next prime is 12100220112121. The reversal of 12100220112120 is 2121102200121.

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 12100220112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100220112121) 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 15 ways as a sum of consecutive naturals, for example, 7202511132 + ... + 7202512811.

It is an arithmetic number, because the mean of its divisors is an integer number (648226077480).

Almost surely, 2^{12100220112120} is an apocalyptic number.

12100220112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12100220112120 is an abundant number, since it is smaller than the sum of its proper divisors (29386248846600).

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

12100220112120 is a wasteful number, since it uses less digits than its factorization.

12100220112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14405023964 (or 14405023960 counting only the distinct ones).

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

Adding to 12100220112120 its reverse (2121102200121), we get a palindrome (14221322312241).

The spelling of 12100220112120 in words is "twelve trillion, one hundred billion, two hundred twenty million, one hundred twelve thousand, one hundred twenty".