202055120 has 80 divisors (see below), whose sum is σ = 497259840. Its totient is φ = 76142592.

The previous prime is 202055099. The next prime is 202055159. The reversal of 202055120 is 21550202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×202055120³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466424 + ... + 466856.

It is an arithmetic number, because the mean of its divisors is an integer number (6215748).

Almost surely, 2^202055120 is an apocalyptic number.

202055120 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 202055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248629920).

202055120 is an abundant number, since it is smaller than the sum of its proper divisors (295204720).

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

202055120 is a wasteful number, since it uses less digits than its factorization.

202055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 17.

The square root of 202055120 is about 14214.6093861210. The cubic root of 202055120 is about 586.7997947420.

The spelling of 202055120 in words is "two hundred two million, fifty-five thousand, one hundred twenty".