12000121102000 has 160 divisors (see below), whose sum is σ = 29120962014144. Its totient is φ = 4782765312000.

The previous prime is 12000121101989. The next prime is 12000121102001. The reversal of 12000121102000 is 20112100021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12000121102001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 638736607 + ... + 638755393.

Almost surely, 2^{12000121102000} is an apocalyptic number.

12000121102000 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 12000121102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14560481007072).

12000121102000 is an abundant number, since it is smaller than the sum of its proper divisors (17120840912144).

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

12000121102000 is a wasteful number, since it uses less digits than its factorization.

12000121102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19944 (or 19928 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12000121102000 its reverse (20112100021), we get a palindrome (12020233202021).

The spelling of 12000121102000 in words is "twelve trillion, one hundred twenty-one million, one hundred two thousand".