252222657120 has 144 divisors (see below), whose sum is σ = 983668402080. Its totient is φ = 57650890752.

The previous prime is 252222657101. The next prime is 252222657121. The reversal of 252222657120 is 21756222252.

252222657120 is a `hidden beast` number, since 2 + 522 + 2 + 2 + 6 + 5 + 7 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252222657121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12500965 + ... + 12521124.

It is an arithmetic number, because the mean of its divisors is an integer number (6831030570).

Almost surely, 2^252222657120 is an apocalyptic number.

252222657120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252222657120 is an abundant number, since it is smaller than the sum of its proper divisors (731445744960).

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

252222657120 is a wasteful number, since it uses less digits than its factorization.

252222657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022117 (or 25022106 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Adding to 252222657120 its reverse (21756222252), we get a palindrome (273978879372).

The spelling of 252222657120 in words is "two hundred fifty-two billion, two hundred twenty-two million, six hundred fifty-seven thousand, one hundred twenty".