1323301001120 has 288 divisors, whose sum is σ = 3853181323152. Its totient is φ = 426732945408.

The previous prime is 1323301001089. The next prime is 1323301001149. The reversal of 1323301001120 is 211001033231.

It can be written as a sum of positive squares in 8 ways, for example, as 1009920482704 + 313380518416 = 1004948^2 + 559804^2 .

It is a super-2 number, since 2×1323301001120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 316804472 + ... + 316808648.

Almost surely, 2^{1323301001120} is an apocalyptic number.

1323301001120 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 1323301001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926590661576).

1323301001120 is an abundant number, since it is smaller than the sum of its proper divisors (2529880322032).

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

1323301001120 is a wasteful number, since it uses less digits than its factorization.

1323301001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6600 (or 6585 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1323301001120 its reverse (211001033231), we get a palindrome (1534302034351).

The spelling of 1323301001120 in words is "one trillion, three hundred twenty-three billion, three hundred one million, one thousand, one hundred twenty".