128240133120 has 440 divisors, whose sum is σ = 501334339968. Its totient is φ = 31087411200.

The previous prime is 128240133107. The next prime is 128240133139. The reversal of 128240133120 is 21331042821.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4547865 + ... + 4575975.

Almost surely, 2^128240133120 is an apocalyptic number.

128240133120 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 128240133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250667169984).

128240133120 is an abundant number, since it is smaller than the sum of its proper divisors (373094206848).

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

128240133120 is a wasteful number, since it uses less digits than its factorization.

128240133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28159 (or 28132 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 128240133120 its reverse (21331042821), we get a palindrome (149571175941).

The spelling of 128240133120 in words is "one hundred twenty-eight billion, two hundred forty million, one hundred thirty-three thousand, one hundred twenty".