128501493120 has 4096 divisors, whose sum is σ = 710664192000. Its totient is φ = 21021327360.

The previous prime is 128501493059. The next prime is 128501493149. The reversal of 128501493120 is 21394105821.

128501493120 is a `hidden beast` number, since 1 + 28 + 501 + 4 + 9 + 3 + 120 = 666.

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 511 ways as a sum of consecutive naturals, for example, 5587021429 + ... + 5587021451.

It is an arithmetic number, because the mean of its divisors is an integer number (173502000).

128501493120 is a highly composite number, because it has more divisors than any smaller number.

Almost surely, 2^128501493120 is an apocalyptic number.

128501493120 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 128501493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355332096000).

128501493120 is an abundant number, since it is smaller than the sum of its proper divisors (582162698880).

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

128501493120 is a wasteful number, since it uses less digits than its factorization.

128501493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 128501493120 its reverse (21394105821), we get a palindrome (149895598941).

The spelling of 128501493120 in words is "one hundred twenty-eight billion, five hundred one million, four hundred ninety-three thousand, one hundred twenty".