12956160000 has 520 divisors, whose sum is σ = 49539692224. Its totient is φ = 2949120000.

The previous prime is 12956159999. The next prime is 12956160001. The reversal of 12956160000 is 6165921.

It is an interprime number because it is at equal distance from previous prime (12956159999) and next prime (12956160001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12956160000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12956160001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53759880 + ... + 53760120.

Almost surely, 2^12956160000 is an apocalyptic number.

12956160000 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 12956160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24769846112).

12956160000 is an abundant number, since it is smaller than the sum of its proper divisors (36583532224).

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

12956160000 is an frugal number, since it uses more digits than its factorization.

12956160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The spelling of 12956160000 in words is "twelve billion, nine hundred fifty-six million, one hundred sixty thousand".