128229326100 has 864 divisors, whose sum is σ = 464259868800. Its totient is φ = 30569011200.

The previous prime is 128229326089. The next prime is 128229326107. The reversal of 128229326100 is 1623922821.

It is a happy number.

128229326100 is a `hidden beast` number, since 1 + 2 + 8 + 2 + 2 + 9 + 32 + 610 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128229326107) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 816747222 + ... + 816747378.

Almost surely, 2^128229326100 is an apocalyptic number.

128229326100 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 128229326100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232129934400).

128229326100 is an abundant number, since it is smaller than the sum of its proper divisors (336030542700).

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

128229326100 is a wasteful number, since it uses less digits than its factorization.

128229326100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 128229326100 in words is "one hundred twenty-eight billion, two hundred twenty-nine million, three hundred twenty-six thousand, one hundred".