2112002022016 has 64 divisors (see below), whose sum is σ = 4245145833600. Its totient is φ = 1046595594240.

The previous prime is 2112002022007. The next prime is 2112002022017. The reversal of 2112002022016 is 6102202002112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2112002021984 and 2112002022002.

It is not an unprimeable number, because it can be changed into a prime (2112002022017) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6291316 + ... + 6618508.

It is an arithmetic number, because the mean of its divisors is an integer number (66330403650).

Almost surely, 2^{2112002022016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112002022016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122572916800).

2112002022016 is an abundant number, since it is smaller than the sum of its proper divisors (2133143811584).

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

2112002022016 is a wasteful number, since it uses less digits than its factorization.

2112002022016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327657 (or 327645 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2112002022016 its reverse (6102202002112), we get a palindrome (8214204024128).

The spelling of 2112002022016 in words is "two trillion, one hundred twelve billion, two million, twenty-two thousand, sixteen".