128283901200 has 1440 divisors, whose sum is σ = 592643318400. Its totient is φ = 26092523520.

The previous prime is 128283901189. The next prime is 128283901289. The reversal of 128283901200 is 2109382821.

128283901200 is a `hidden beast` number, since 128 + 28 + 390 + 120 + 0 = 666.

It is a super-3 number, since 3×128283901200³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 199508079 + ... + 199508721.

It is an arithmetic number, because the mean of its divisors is an integer number (411557860).

Almost surely, 2^128283901200 is an apocalyptic number.

128283901200 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 128283901200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296321659200).

128283901200 is an abundant number, since it is smaller than the sum of its proper divisors (464359417200).

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

128283901200 is a wasteful number, since it uses less digits than its factorization.

128283901200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 128283901200 in words is "one hundred twenty-eight billion, two hundred eighty-three million, nine hundred one thousand, two hundred".