252222120 has 128 divisors (see below), whose sum is σ = 844272000. Its totient is φ = 66977280.

The previous prime is 252222079. The next prime is 252222151. The reversal of 252222120 is 21222252.

252222120 is a `hidden beast` number, since 2 + 522 + 22 + 120 = 666.

252222120 is digitally balanced in base 3, 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 252222093 and 252222102.

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, 441435 + ... + 442005.

It is an arithmetic number, because the mean of its divisors is an integer number (6595875).

Almost surely, 2^252222120 is an apocalyptic number.

252222120 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 252222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422136000).

252222120 is an abundant number, since it is smaller than the sum of its proper divisors (592049880).

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

252222120 is a wasteful number, since it uses less digits than its factorization.

252222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252222120 is about 15881.5024478165. The cubic root of 252222120 is about 631.8214859275.

Adding to 252222120 its reverse (21222252), we get a palindrome (273444372).

It can be divided in two parts, 2522 and 22120, that added together give a palindrome (24642).

The spelling of 252222120 in words is "two hundred fifty-two million, two hundred twenty-two thousand, one hundred twenty".