12000210210120 has 256 divisors, whose sum is σ = 39534562529280. Its totient is φ = 2889861862400.

The previous prime is 12000210210091. The next prime is 12000210210151. The reversal of 12000210210120 is 2101201200021.

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 = 12000210210096 and 12000210210105.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120232477 + ... + 120332243.

It is an arithmetic number, because the mean of its divisors is an integer number (154431884880).

Almost surely, 2^{12000210210120} is an apocalyptic number.

12000210210120 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 12000210210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19767281264640).

12000210210120 is an abundant number, since it is smaller than the sum of its proper divisors (27534352319160).

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

12000210210120 is a wasteful number, since it uses less digits than its factorization.

12000210210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100396 (or 100392 counting only the distinct ones).

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

Adding to 12000210210120 its reverse (2101201200021), we get a palindrome (14101411410141).

The spelling of 12000210210120 in words is "twelve trillion, two hundred ten million, two hundred ten thousand, one hundred twenty".