12130481664 has 240 divisors, whose sum is σ = 40433641248. Its totient is φ = 3429236736.

The previous prime is 12130481651. The next prime is 12130481669. The reversal of 12130481664 is 46618403121.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130481669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3126894 + ... + 3130770.

Almost surely, 2^12130481664 is an apocalyptic number.

12130481664 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 12130481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20216820624).

12130481664 is an abundant number, since it is smaller than the sum of its proper divisors (28303159584).

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

12130481664 is an equidigital number, since it uses as much as digits as its factorization.

12130481664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 12130481664 its reverse (46618403121), we get a palindrome (58748884785).

The spelling of 12130481664 in words is "twelve billion, one hundred thirty million, four hundred eighty-one thousand, six hundred sixty-four".