12000211200120 has 512 divisors, whose sum is σ = 42465088512000. Its totient is φ = 2674553333760.

The previous prime is 12000211200083. The next prime is 12000211200137. The reversal of 12000211200120 is 2100211200021.

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 = 12000211200096 and 12000211200105.

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 127 ways as a sum of consecutive naturals, for example, 5507209191 + ... + 5507211369.

It is an arithmetic number, because the mean of its divisors is an integer number (82939626000).

Almost surely, 2^{12000211200120} is an apocalyptic number.

12000211200120 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 12000211200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21232544256000).

12000211200120 is an abundant number, since it is smaller than the sum of its proper divisors (30464877311880).

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

12000211200120 is a wasteful number, since it uses less digits than its factorization.

12000211200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3363 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12000211200120 its reverse (2100211200021), we get a palindrome (14100422400141).

Subtracting from 12000211200120 its reverse (2100211200021), we obtain a palindrome (9900000000099).

The spelling of 12000211200120 in words is "twelve trillion, two hundred eleven million, two hundred thousand, one hundred twenty".