2112420 has 96 divisors (see below), whose sum is σ = 6652800. Its totient is φ = 497664.

The previous prime is 2112419. The next prime is 2112469. The reversal of 2112420 is 242112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2112396 and 2112405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19326 + ... + 19434.

It is an arithmetic number, because the mean of its divisors is an integer number (69300).

2^2112420 is an apocalyptic number.

2112420 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 2112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3326400).

2112420 is an abundant number, since it is smaller than the sum of its proper divisors (4540380).

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

2112420 is a wasteful number, since it uses less digits than its factorization.

2112420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2112420 is about 1453.4166642777. The cubic root of 2112420 is about 128.3098774620.

Adding to 2112420 its reverse (242112), we get a palindrome (2354532).

The spelling of 2112420 in words is "two million, one hundred twelve thousand, four hundred twenty".