13122466560 has 1008 divisors, whose sum is σ = 56299118400. Its totient is φ = 2926264320.

The previous prime is 13122466541. The next prime is 13122466561. The reversal of 13122466560 is 6566422131.

13122466560 is a `hidden beast` number, since 1 + 3 + 12 + 24 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13122466561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 320060140 + ... + 320060180.

It is an arithmetic number, because the mean of its divisors is an integer number (55852300).

Almost surely, 2^13122466560 is an apocalyptic number.

13122466560 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 13122466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149559200).

13122466560 is an abundant number, since it is smaller than the sum of its proper divisors (43176651840).

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

13122466560 is an frugal number, since it uses more digits than its factorization.

13122466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 13122466560 its reverse (6566422131), we get a palindrome (19688888691).

The spelling of 13122466560 in words is "thirteen billion, one hundred twenty-two million, four hundred sixty-six thousand, five hundred sixty".