12613968000 has 320 divisors, whose sum is σ = 46853440920. Its totient is φ = 3363379200.

The previous prime is 12613967963. The next prime is 12613968001. The reversal of 12613968000 is 86931621.

12613968000 is a `hidden beast` number, since 1 + 261 + 396 + 8 + 0 + 0 + 0 = 666.

12613968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6261240384 + 6352727616 = 79128^2 + 79704^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×12613968000² (a number of 21 digits) contains 22 as substring.

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 (12613968001) 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 39 ways as a sum of consecutive naturals, for example, 1291134 + ... + 1300866.

Almost surely, 2^12613968000 is an apocalyptic number.

12613968000 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 12613968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23426720460).

12613968000 is an abundant number, since it is smaller than the sum of its proper divisors (34239472920).

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

12613968000 is an frugal number, since it uses more digits than its factorization.

12613968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9774 (or 9743 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12613968000 in words is "twelve billion, six hundred thirteen million, nine hundred sixty-eight thousand".