1321181316224 has 128 divisors (see below), whose sum is σ = 3301641492480. Its totient is φ = 511587394560.

The previous prime is 1321181316223. The next prime is 1321181316253. The reversal of 1321181316224 is 4226131811231.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1321181316223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195337 + ... + 2017719.

It is an arithmetic number, because the mean of its divisors is an integer number (25794074160).

Almost surely, 2^{1321181316224} is an apocalyptic number.

1321181316224 is a gapful number since it is divisible by the number (14) 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 1321181316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650820746240).

1321181316224 is an abundant number, since it is smaller than the sum of its proper divisors (1980460176256).

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

1321181316224 is a wasteful number, since it uses less digits than its factorization.

1321181316224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822578 (or 822566 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The spelling of 1321181316224 in words is "one trillion, three hundred twenty-one billion, one hundred eighty-one million, three hundred sixteen thousand, two hundred twenty-four".