2120000002000 has 80 divisors (see below), whose sum is σ = 5128905938832. Its totient is φ = 847545753600.

The previous prime is 2120000001991. The next prime is 2120000002031. The reversal of 2120000002000 is 2000000212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 641139706944 + 1478860295056 = 800712^2 + 1216084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3463032 + ... + 4028968.

Almost surely, 2^{2120000002000} is an apocalyptic number.

2120000002000 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 2120000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564452969416).

2120000002000 is an abundant number, since it is smaller than the sum of its proper divisors (3008905936832).

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

2120000002000 is a wasteful number, since it uses less digits than its factorization.

2120000002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567833 (or 567817 counting only the distinct ones).

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

Adding to 2120000002000 its reverse (2000000212), we get a palindrome (2122000002212).

The spelling of 2120000002000 in words is "two trillion, one hundred twenty billion, two thousand".