2142120 has 32 divisors (see below), whose sum is σ = 6426720. Its totient is φ = 571200.

The previous prime is 2142097. The next prime is 2142121. The reversal of 2142120 is 212412.

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 = 2142096 and 2142105.

It is not an unprimeable number, because it can be changed into a prime (2142121) 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, 8806 + ... + 9045.

It is an arithmetic number, because the mean of its divisors is an integer number (200835).

2^2142120 is an apocalyptic number.

2142120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142120 is an abundant number, since it is smaller than the sum of its proper divisors (4284600).

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

2142120 is a wasteful number, since it uses less digits than its factorization.

2142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17865 (or 17861 counting only the distinct ones).

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

The square root of 2142120 is about 1463.5983055470. The cubic root of 2142120 is about 128.9084140500.

Adding to 2142120 its reverse (212412), we get a palindrome (2354532).

The spelling of 2142120 in words is "two million, one hundred forty-two thousand, one hundred twenty".