202120 has 32 divisors (see below), whose sum is σ = 472320. Its totient is φ = 77760.

The previous prime is 202109. The next prime is 202121. The reversal of 202120 is 21202.

202120 = 109² + 110² + ... + 123².

It is a happy number.

202120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202121) by changing a digit.

202120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159 + ... + 1321.

It is an arithmetic number, because the mean of its divisors is an integer number (14760).

2²⁰²¹²⁰ is an apocalyptic number.

202120 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 202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236160).

202120 is an abundant number, since it is smaller than the sum of its proper divisors (270200).

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

202120 is a wasteful number, since it uses less digits than its factorization.

202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 202120 is about 449.5775795121. The cubic root of 202120 is about 58.6862595256.

Adding to 202120 its reverse (21202), we get a palindrome (223322).

The spelling of 202120 in words is "two hundred two thousand, one hundred twenty", and thus it is an iban number.