12461101360 has 80 divisors (see below), whose sum is σ = 31072520160. Its totient is φ = 4632975360.

The previous prime is 12461101357. The next prime is 12461101363. The reversal of 12461101360 is 6310116421.

12461101360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12461101357) and next prime (12461101363).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (12461101363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3220 + ... + 157900.

It is an arithmetic number, because the mean of its divisors is an integer number (388406502).

Almost surely, 2^12461101360 is an apocalyptic number.

12461101360 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 12461101360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536260080).

12461101360 is an abundant number, since it is smaller than the sum of its proper divisors (18611418800).

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

12461101360 is a wasteful number, since it uses less digits than its factorization.

12461101360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154766 (or 154760 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 12461101360 its reverse (6310116421), we get a palindrome (18771217781).

The spelling of 12461101360 in words is "twelve billion, four hundred sixty-one million, one hundred one thousand, three hundred sixty".