12100010112120 has 384 divisors, whose sum is σ = 44600840524800. Its totient is φ = 2611203001344.

The previous prime is 12100010112089. The next prime is 12100010112131. The reversal of 12100010112120 is 2121101000121.

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

It is a junction number, because it is equal to n+sod(n) for n = 12100010112096 and 12100010112105.

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 95 ways as a sum of consecutive naturals, for example, 32549137 + ... + 32918783.

It is an arithmetic number, because the mean of its divisors is an integer number (116148022200).

Almost surely, 2^{12100010112120} is an apocalyptic number.

12100010112120 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 12100010112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22300420262400).

12100010112120 is an abundant number, since it is smaller than the sum of its proper divisors (32500830412680).

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

12100010112120 is a wasteful number, since it uses less digits than its factorization.

12100010112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369987 (or 369976 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12100010112120 its reverse (2121101000121), we get a palindrome (14221111112241).

The spelling of 12100010112120 in words is "twelve trillion, one hundred billion, ten million, one hundred twelve thousand, one hundred twenty".