1320128095008 has 192 divisors, whose sum is σ = 3830511347712. Its totient is φ = 395964518400.

The previous prime is 1320128094959. The next prime is 1320128095037. The reversal of 1320128095008 is 8005908210231.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 93945583 + ... + 93959633.

It is an arithmetic number, because the mean of its divisors is an integer number (19950579936).

Almost surely, 2^{1320128095008} 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 1320128095008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915255673856).

1320128095008 is an abundant number, since it is smaller than the sum of its proper divisors (2510383252704).

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

1320128095008 is a wasteful number, since it uses less digits than its factorization.

1320128095008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16607 (or 16599 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 1320128095008 in words is "one trillion, three hundred twenty billion, one hundred twenty-eight million, ninety-five thousand, eight".