2120002000000 has 448 divisors, whose sum is σ = 5834962811520. Its totient is φ = 763136000000.

The previous prime is 2120001999991. The next prime is 2120002000003. The reversal of 2120002000000 is 2000212.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2120002000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 781998645 + ... + 782001355.

Almost surely, 2^{2120002000000} is an apocalyptic number.

2120002000000 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 2120002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2917481405760).

2120002000000 is an abundant number, since it is smaller than the sum of its proper divisors (3714960811520).

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

2120002000000 is an frugal number, since it uses more digits than its factorization.

2120002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2758 counting only the distinct ones).

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

Adding to 2120002000000 its reverse (2000212), we get a palindrome (2120004000212).

The spelling of 2120002000000 in words is "two trillion, one hundred twenty billion, two million", and thus it is an aban number.