12930140160 has 960 divisors, whose sum is σ = 56510213760. Its totient is φ = 2760376320.

The previous prime is 12930140101. The next prime is 12930140191. The reversal of 12930140160 is 6104103921.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98703295 + ... + 98703425.

It is an arithmetic number, because the mean of its divisors is an integer number (58864806).

Almost surely, 2^12930140160 is an apocalyptic number.

12930140160 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 12930140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255106880).

12930140160 is an abundant number, since it is smaller than the sum of its proper divisors (43580073600).

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

12930140160 is a wasteful number, since it uses less digits than its factorization.

12930140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 12930140160 in words is "twelve billion, nine hundred thirty million, one hundred forty thousand, one hundred sixty".