202002120 has 128 divisors (see below), whose sum is σ = 676512000. Its totient is φ = 53614080.

The previous prime is 202002113. The next prime is 202002149. The reversal of 202002120 is 21200202.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387460 + ... + 387980.

It is an arithmetic number, because the mean of its divisors is an integer number (5285250).

Almost surely, 2^202002120 is an apocalyptic number.

202002120 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 202002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338256000).

202002120 is an abundant number, since it is smaller than the sum of its proper divisors (474509880).

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

202002120 is a wasteful number, since it uses less digits than its factorization.

202002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 202002120 is about 14212.7449846960. The cubic root of 202002120 is about 586.7484834814.

Adding to 202002120 its reverse (21200202), we get a palindrome (223202322).

The spelling of 202002120 in words is "two hundred two million, two thousand, one hundred twenty".