1205881216128 has 256 divisors, whose sum is σ = 3839490201600. Its totient is φ = 371176685568.

The previous prime is 1205881216123. The next prime is 1205881216193. The reversal of 1205881216128 is 8216121885021.

1205881216128 is a `hidden beast` number, since 1 + 2 + 0 + 5 + 8 + 8 + 1 + 21 + 612 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1205881216123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2920225 + ... + 3307487.

It is an arithmetic number, because the mean of its divisors is an integer number (14998008600).

Almost surely, 2^{1205881216128} is an apocalyptic number.

1205881216128 is a gapful number since it is divisible by the number (18) 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 1205881216128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919745100800).

1205881216128 is an abundant number, since it is smaller than the sum of its proper divisors (2633608985472).

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

1205881216128 is a wasteful number, since it uses less digits than its factorization.

1205881216128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387356 (or 387338 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 1205881216128 in words is "one trillion, two hundred five billion, eight hundred eighty-one million, two hundred sixteen thousand, one hundred twenty-eight".