1321882144128 has 1536 divisors, whose sum is σ = 5204430766080. Its totient is φ = 312134860800.

The previous prime is 1321882144069. The next prime is 1321882144133. The reversal of 1321882144128 is 8214412881231.

1321882144128 is a `hidden beast` number, since 1 + 3 + 2 + 18 + 8 + 214 + 412 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

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 191 ways as a sum of consecutive naturals, for example, 3922498776 + ... + 3922499112.

It is an arithmetic number, because the mean of its divisors is an integer number (3388301280).

Almost surely, 2^{1321882144128} is an apocalyptic number.

1321882144128 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 1321882144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602215383040).

1321882144128 is an abundant number, since it is smaller than the sum of its proper divisors (3882548621952).

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

1321882144128 is a wasteful number, since it uses less digits than its factorization.

1321882144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its digits is 196608, while the sum is 45.

The spelling of 1321882144128 in words is "one trillion, three hundred twenty-one billion, eight hundred eighty-two million, one hundred forty-four thousand, one hundred twenty-eight".