128787120 has 480 divisors, whose sum is σ = 568249344. Its totient is φ = 25344000.

The previous prime is 128787103. The next prime is 128787151. The reversal of 128787120 is 21787821.

It is a happy number.

It is a super-2 number, since 2×128787120² = 33172244555788800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1275070 + ... + 1275170.

Almost surely, 2^128787120 is an apocalyptic number.

128787120 is a gapful number since it is divisible by the number (10) 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 128787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284124672).

128787120 is an abundant number, since it is smaller than the sum of its proper divisors (439462224).

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

128787120 is a wasteful number, since it uses less digits than its factorization.

128787120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 128787120 is about 11348.4413026636. The cubic root of 128787120 is about 504.9993399331. Note that the first 3 decimals are identical.

The spelling of 128787120 in words is "one hundred twenty-eight million, seven hundred eighty-seven thousand, one hundred twenty".