128120214300 has 288 divisors, whose sum is σ = 417558274560. Its totient is φ = 30094310400.

The previous prime is 128120214283. The next prime is 128120214301. The reversal of 128120214300 is 3412021821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128120214301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44041246 + ... + 44044154.

It is an arithmetic number, because the mean of its divisors is an integer number (1449855120).

Almost surely, 2^128120214300 is an apocalyptic number.

128120214300 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 128120214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208779137280).

128120214300 is an abundant number, since it is smaller than the sum of its proper divisors (289438060260).

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

128120214300 is a wasteful number, since it uses less digits than its factorization.

128120214300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 128120214300 in words is "one hundred twenty-eight billion, one hundred twenty million, two hundred fourteen thousand, three hundred".