128218479120 has 160 divisors (see below), whose sum is σ = 443215203840. Its totient is φ = 34069754880.

The previous prime is 128218479113. The next prime is 128218479121. The reversal of 128218479120 is 21974812821.

128218479120 is a `hidden beast` number, since 1 + 282 + 184 + 79 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (128218479121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501337 + ... + 712583.

It is an arithmetic number, because the mean of its divisors is an integer number (2770095024).

Almost surely, 2^128218479120 is an apocalyptic number.

128218479120 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 128218479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221607601920).

128218479120 is an abundant number, since it is smaller than the sum of its proper divisors (314996724720).

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

128218479120 is a wasteful number, since it uses less digits than its factorization.

128218479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211550 (or 211538 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 128218479120 in words is "one hundred twenty-eight billion, two hundred eighteen million, four hundred seventy-nine thousand, one hundred twenty".