128883116128900 has 243 divisors, whose sum is σ = 327740493291309. Its totient is φ = 43864537167360.

The previous prime is 128883116128873. The next prime is 128883116128939. The reversal of 128883116128900 is 9821611388821.

The square root of 128883116128900 is 11352670.

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

It can be written as a sum of positive squares in 13 ways, for example, as 34312625859204 + 94570490269696 = 5857698^2 + 9724736^2 .

It is a super-2 number, since 2×128883116128900² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 124765842784 + ... + 124765843816.

Almost surely, 2^{128883116128900} is an apocalyptic number.

128883116128900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

128883116128900 is the 11352670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128883116128900

128883116128900 is an abundant number, since it is smaller than the sum of its proper divisors (198857377162409).

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

128883116128900 is an equidigital number, since it uses as much as digits as its factorization.

128883116128900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 58.

The spelling of 128883116128900 in words is "one hundred twenty-eight trillion, eight hundred eighty-three billion, one hundred sixteen million, one hundred twenty-eight thousand, nine hundred".