12130006644 has 108 divisors (see below), whose sum is σ = 36170735328. Its totient is φ = 3416868000.

The previous prime is 12130006643. The next prime is 12130006649. The reversal of 12130006644 is 44660003121.

12130006644 is a `hidden beast` number, since 1 + 2 + 13 + 0 + 0 + 0 + 6 + 644 = 666.

It is a super-2 number, since 2×12130006644² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12130006643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76819 + ... + 173669.

It is an arithmetic number, because the mean of its divisors is an integer number (334914216).

Almost surely, 2^12130006644 is an apocalyptic number.

12130006644 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 12130006644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18085367664).

12130006644 is an abundant number, since it is smaller than the sum of its proper divisors (24040728684).

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

12130006644 is a wasteful number, since it uses less digits than its factorization.

12130006644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96946 (or 96934 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 12130006644 its reverse (44660003121), we get a palindrome (56790009765).

The spelling of 12130006644 in words is "twelve billion, one hundred thirty million, six thousand, six hundred forty-four".