128205220192 has 96 divisors (see below), whose sum is σ = 303995220480. Its totient is φ = 51993031680.

The previous prime is 128205220177. The next prime is 128205220267. The reversal of 128205220192 is 291022502821.

It is a happy number.

It is a super-4 number, since 4×128205220192⁴ (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3758092 + ... + 3792052.

It is an arithmetic number, because the mean of its divisors is an integer number (3166616880).

Almost surely, 2^128205220192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128205220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151997610240).

128205220192 is an abundant number, since it is smaller than the sum of its proper divisors (175790000288).

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

128205220192 is a wasteful number, since it uses less digits than its factorization.

128205220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34884 (or 34876 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 128205220192 in words is "one hundred twenty-eight billion, two hundred five million, two hundred twenty thousand, one hundred ninety-two".