2012120 has 64 divisors (see below), whose sum is σ = 5248800. Its totient is φ = 686080.

The previous prime is 2012113. The next prime is 2012123. The reversal of 2012120 is 212102.

2012120 = 336² + 337² + ... + 352².

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 2012098 and 2012107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7346 + ... + 7614.

2^2012120 is an apocalyptic number.

2012120 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 2012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624400).

2012120 is an abundant number, since it is smaller than the sum of its proper divisors (3236680).

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

2012120 is a wasteful number, since it uses less digits than its factorization.

2012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 304 counting only the distinct ones).

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

The square root of 2012120 is about 1418.4921571866. The cubic root of 2012120 is about 126.2460966672.

Adding to 2012120 its reverse (212102), we get a palindrome (2224222).

The spelling of 2012120 in words is "two million, twelve thousand, one hundred twenty".