2000121120000 has 720 divisors, whose sum is σ = 7496269925760. Its totient is φ = 525772800000.

The previous prime is 2000121119963. The next prime is 2000121120037. The reversal of 2000121120000 is 211210002.

It is an interprime number because it is at equal distance from previous prime (2000121119963) and next prime (2000121120037).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 306716740 + ... + 306723260.

It is an arithmetic number, because the mean of its divisors is an integer number (10411486008).

Almost surely, 2^{2000121120000} is an apocalyptic number.

2000121120000 is a gapful number since it is divisible by the number (20) 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 2000121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748134962880).

2000121120000 is an abundant number, since it is smaller than the sum of its proper divisors (5496148805760).

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

2000121120000 is an frugal number, since it uses more digits than its factorization.

2000121120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6637 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000121120000 its reverse (211210002), we get a palindrome (2000332330002).

The spelling of 2000121120000 in words is "two trillion, one hundred twenty-one million, one hundred twenty thousand".