88001222500 has 135 divisors (see below), whose sum is σ = 205014451719. Its totient is φ = 33034944000.

The previous prime is 88001222497. The next prime is 88001222501. The reversal of 88001222500 is 522210088.

The square root of 88001222500 is 296650.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 82395406116 + 5605816384 = 287046^2 + 74872^2 .

It is a super-2 number, since 2×88001222500² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88001222501) 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 44 ways as a sum of consecutive naturals, for example, 252152326 + ... + 252152674.

Almost surely, 2^88001222500 is an apocalyptic number.

88001222500 is the 296650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88001222500

88001222500 is an abundant number, since it is smaller than the sum of its proper divisors (117013229219).

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

88001222500 is an equidigital number, since it uses as much as digits as its factorization.

88001222500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

Adding to 88001222500 its reverse (522210088), we get a palindrome (88523432588).

The spelling of 88001222500 in words is "eighty-eight billion, one million, two hundred twenty-two thousand, five hundred".