2122116 has 24 divisors (see below), whose sum is σ = 5009760. Its totient is φ = 699072.

The previous prime is 2122103. The next prime is 2122123. The reversal of 2122116 is 6112212.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2122095 and 2122104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 2061.

It is an arithmetic number, because the mean of its divisors is an integer number (208740).

2^2122116 is an apocalyptic number.

It is an amenable number.

2122116 is an abundant number, since it is smaller than the sum of its proper divisors (2887644).

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

2122116 is a wasteful number, since it uses less digits than its factorization.

2122116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2083 (or 2081 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 2122116 is about 1456.7484340132. The cubic root of 2122116 is about 128.5058918201.

Adding to 2122116 its reverse (6112212), we get a palindrome (8234328).

The spelling of 2122116 in words is "two million, one hundred twenty-two thousand, one hundred sixteen".