2130120 has 96 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 552960.

The previous prime is 2130101. The next prime is 2130133. The reversal of 2130120 is 210312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1052676 + 1077444 = 1026^2 + 1038^2 .

It is a super-2 number, since 2×2130120² = 9074822428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21912 + ... + 22008.

2^2130120 is an apocalyptic number.

2130120 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 2130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2130120 is an abundant number, since it is smaller than the sum of its proper divisors (4978800).

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

2130120 is a wasteful number, since it uses less digits than its factorization.

2130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2130120 is about 1459.4930626762. The cubic root of 2130120 is about 128.6672513180.

Adding to 2130120 its reverse (210312), we get a palindrome (2340432).

It can be divided in two parts, 21301 and 20, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 2130120 in words is "two million, one hundred thirty thousand, one hundred twenty".