201252120 has 128 divisors (see below), whose sum is σ = 653184000. Its totient is φ = 49412096.

The previous prime is 201252109. The next prime is 201252133. The reversal of 201252120 is 21252102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201252120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94831 + ... + 96929.

It is an arithmetic number, because the mean of its divisors is an integer number (5103000).

Almost surely, 2^201252120 is an apocalyptic number.

201252120 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 201252120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326592000).

201252120 is an abundant number, since it is smaller than the sum of its proper divisors (451931880).

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

201252120 is a wasteful number, since it uses less digits than its factorization.

201252120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 201252120 is about 14186.3356790963. The cubic root of 201252120 is about 586.0214166673.

The spelling of 201252120 in words is "two hundred one million, two hundred fifty-two thousand, one hundred twenty".