128420500032 has 252 divisors, whose sum is σ = 416995605936. Its totient is φ = 38913903360.

The previous prime is 128420500009. The next prime is 128420500111. The reversal of 128420500032 is 230005024821.

128420500032 is a `hidden beast` number, since 128 + 4 + 2 + 0 + 500 + 0 + 32 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 128420499969 and 128420500005.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4605043 + ... + 4632845.

It is an arithmetic number, because the mean of its divisors is an integer number (1654744468).

Almost surely, 2^128420500032 is an apocalyptic number.

128420500032 is a gapful number since it is divisible by the number (12) 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 128420500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208497802968).

128420500032 is an abundant number, since it is smaller than the sum of its proper divisors (288575105904).

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

128420500032 is an frugal number, since it uses more digits than its factorization.

128420500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27850 (or 27819 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 128420500032 its reverse (230005024821), we get a palindrome (358425524853).

The spelling of 128420500032 in words is "one hundred twenty-eight billion, four hundred twenty million, five hundred thousand, thirty-two".