128522250000 has 315 divisors, whose sum is σ = 451488029473. Its totient is φ = 34129200000.

The previous prime is 128522249983. The next prime is 128522250007. The reversal of 128522250000 is 52225821.

The square root of 128522250000 is 358500.

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

128522250000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 112597829136 + 15924420864 = 335556^2 + 126192^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128522250007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 537749881 + ... + 537750119.

Almost surely, 2^128522250000 is an apocalyptic number.

128522250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128522250000 is the 358500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128522250000

128522250000 is an abundant number, since it is smaller than the sum of its proper divisors (322965779473).

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

128522250000 is an frugal number, since it uses more digits than its factorization.

128522250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 128522250000 its reverse (52225821), we get a palindrome (128574475821).

The spelling of 128522250000 in words is "one hundred twenty-eight billion, five hundred twenty-two million, two hundred fifty thousand".