128249200185120 has 1728 divisors, whose sum is σ = 552234848256000. Its totient is φ = 26471586226176.

The previous prime is 128249200185059. The next prime is 128249200185133. The reversal of 128249200185120 is 21581002942821.

128249200185120 is a `hidden beast` number, since 1 + 2 + 8 + 249 + 200 + 1 + 85 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 12724392241 + ... + 12724402319.

It is an arithmetic number, because the mean of its divisors is an integer number (319580352000).

Almost surely, 2^{128249200185120} is an apocalyptic number.

128249200185120 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 128249200185120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276117424128000).

128249200185120 is an abundant number, since it is smaller than the sum of its proper divisors (423985648070880).

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

128249200185120 is a wasteful number, since it uses less digits than its factorization.

128249200185120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10263 (or 10223 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 128249200185120 in words is "one hundred twenty-eight trillion, two hundred forty-nine billion, two hundred million, one hundred eighty-five thousand, one hundred twenty".