1315454221120 has 112 divisors (see below), whose sum is σ = 3374155220688. Its totient is φ = 485594726400.

The previous prime is 1315454221079. The next prime is 1315454221127. The reversal of 1315454221120 is 211224545131.

It can be written as a sum of positive squares in 8 ways, for example, as 164245393984 + 1151208827136 = 405272^2 + 1072944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315454221127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 19339170 + ... + 19407070.

It is an arithmetic number, because the mean of its divisors is an integer number (30126385899).

Almost surely, 2^{1315454221120} is an apocalyptic number.

1315454221120 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 1315454221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687077610344).

1315454221120 is an abundant number, since it is smaller than the sum of its proper divisors (2058700999568).

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

1315454221120 is a wasteful number, since it uses less digits than its factorization.

1315454221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72588 (or 72578 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

Adding to 1315454221120 its reverse (211224545131), we get a palindrome (1526678766251).

The spelling of 1315454221120 in words is "one trillion, three hundred fifteen billion, four hundred fifty-four million, two hundred twenty-one thousand, one hundred twenty".