128201400 has 96 divisors (see below), whose sum is σ = 441601200. Its totient is φ = 34185600.

The previous prime is 128201393. The next prime is 128201401. The reversal of 128201400 is 4102821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128201401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6471 + ... + 17270.

Almost surely, 2^128201400 is an apocalyptic number.

128201400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128201400 is an abundant number, since it is smaller than the sum of its proper divisors (313399800).

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

128201400 is a wasteful number, since it uses less digits than its factorization.

128201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23766 (or 23751 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 128201400 is about 11322.6057071683. The cubic root of 128201400 is about 504.2326023851.

The spelling of 128201400 in words is "one hundred twenty-eight million, two hundred one thousand, four hundred".