202256120 has 64 divisors (see below), whose sum is σ = 500169600. Its totient is φ = 72996480.

The previous prime is 202256113. The next prime is 202256137. The reversal of 202256120 is 21652202.

202256120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 202256092 and 202256101.

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, 59507 + ... + 62813.

It is an arithmetic number, because the mean of its divisors is an integer number (7815150).

Almost surely, 2^202256120 is an apocalyptic number.

202256120 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 202256120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250084800).

202256120 is an abundant number, since it is smaller than the sum of its proper divisors (297913480).

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

202256120 is a wasteful number, since it uses less digits than its factorization.

202256120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 202256120 is about 14221.6778194417. The cubic root of 202256120 is about 586.9943087770.

The spelling of 202256120 in words is "two hundred two million, two hundred fifty-six thousand, one hundred twenty".