2112001216 has 56 divisors (see below), whose sum is σ = 4577084064. Its totient is φ = 961013760.

The previous prime is 2112001211. The next prime is 2112001217. The reversal of 2112001216 is 6121002112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 2112001216.

It is not an unprimeable number, because it can be changed into a prime (2112001211) 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, 41196 + ... + 76948.

It is an arithmetic number, because the mean of its divisors is an integer number (81733644).

Almost surely, 2^2112001216 is an apocalyptic number.

2112001216 is a gapful number since it is divisible by the number (26) 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 2112001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288542032).

2112001216 is an abundant number, since it is smaller than the sum of its proper divisors (2465082848).

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

2112001216 is a wasteful number, since it uses less digits than its factorization.

2112001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35849 (or 35839 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 2112001216 is about 45956.5144022042. The cubic root of 2112001216 is about 1283.0139782332.

Adding to 2112001216 its reverse (6121002112), we get a palindrome (8233003328).

The spelling of 2112001216 in words is "two billion, one hundred twelve million, one thousand, two hundred sixteen".