128325120 has 480 divisors, whose sum is σ = 537394176. Its totient is φ = 25804800.

The previous prime is 128325103. The next prime is 128325149. The reversal of 128325120 is 21523821.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139505 + ... + 4139535.

Almost surely, 2^128325120 is an apocalyptic number.

128325120 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 128325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268697088).

128325120 is an abundant number, since it is smaller than the sum of its proper divisors (409069056).

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

128325120 is a wasteful number, since it uses less digits than its factorization.

128325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 128325120 is about 11328.0677964073. The cubic root of 128325120 is about 504.3947524621.

Adding to 128325120 its reverse (21523821), we get a palindrome (149848941).

The spelling of 128325120 in words is "one hundred twenty-eight million, three hundred twenty-five thousand, one hundred twenty".