252111200 has 72 divisors (see below), whose sum is σ = 671441400. Its totient is φ = 91673600.

The previous prime is 252111191. The next prime is 252111253. The reversal of 252111200 is 2111252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5525 + ... + 23124.

It is an arithmetic number, because the mean of its divisors is an integer number (9325575).

Almost surely, 2^252111200 is an apocalyptic number.

252111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252111200 is an abundant number, since it is smaller than the sum of its proper divisors (419330200).

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

252111200 is a wasteful number, since it uses less digits than its factorization.

252111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28680 (or 28667 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 252111200 is about 15878.0099508723. The cubic root of 252111200 is about 631.7288534032.

Adding to 252111200 its reverse (2111252), we get a palindrome (254222452).

The spelling of 252111200 in words is "two hundred fifty-two million, one hundred eleven thousand, two hundred".