2000002120000 has 140 divisors (see below), whose sum is σ = 5040662312356. Its totient is φ = 786885120000.

The previous prime is 2000002119977. The next prime is 2000002120001. The reversal of 2000002120000 is 212000002.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 1930921459776 + 69080660224 = 1389576^2 + 262832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000002120001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2030164 + ... + 2849836.

Almost surely, 2^{2000002120000} is an apocalyptic number.

2000002120000 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 2000002120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2520331156178).

2000002120000 is an abundant number, since it is smaller than the sum of its proper divisors (3040660192356).

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

2000002120000 is an frugal number, since it uses more digits than its factorization.

2000002120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819766 (or 819741 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 2000002120000 its reverse (212000002), we get a palindrome (2000214120002).

The spelling of 2000002120000 in words is "two trillion, two million, one hundred twenty thousand".