128209205292000 has 384 divisors, whose sum is σ = 480052544025600. Its totient is φ = 29302685337600.

The previous prime is 128209205291987. The next prime is 128209205292019. The reversal of 128209205292000 is 292502902821.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1234664082 + ... + 1234767918.

It is an arithmetic number, because the mean of its divisors is an integer number (1250136833400).

Almost surely, 2^{128209205292000} is an apocalyptic number.

128209205292000 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 128209205292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240026272012800).

128209205292000 is an abundant number, since it is smaller than the sum of its proper divisors (351843338733600).

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

128209205292000 is a wasteful number, since it uses less digits than its factorization.

128209205292000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118571 (or 118553 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 128209205292000 in words is "one hundred twenty-eight trillion, two hundred nine billion, two hundred five million, two hundred ninety-two thousand".