128332029000 has 384 divisors, whose sum is σ = 472186540800. Its totient is φ = 28928793600.

The previous prime is 128332028963. The next prime is 128332029019. The reversal of 128332029000 is 920233821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 10725021 + ... + 10736979.

It is an arithmetic number, because the mean of its divisors is an integer number (1229652450).

Almost surely, 2^128332029000 is an apocalyptic number.

128332029000 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 128332029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236093270400).

128332029000 is an abundant number, since it is smaller than the sum of its proper divisors (343854511800).

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

128332029000 is a wasteful number, since it uses less digits than its factorization.

128332029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12049 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 128332029000 in words is "one hundred twenty-eight billion, three hundred thirty-two million, twenty-nine thousand".