12999168000 has 1248 divisors, whose sum is σ = 59535071232. Its totient is φ = 2654208000.

The previous prime is 12999167999. The next prime is 12999168001. The reversal of 12999168000 is 86199921.

It is an interprime number because it is at equal distance from previous prime (12999167999) and next prime (12999168001).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12999168001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419327985 + ... + 419328015.

It is an arithmetic number, because the mean of its divisors is an integer number (47704384).

Almost surely, 2^12999168000 is an apocalyptic number.

12999168000 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 12999168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29767535616).

12999168000 is an abundant number, since it is smaller than the sum of its proper divisors (46535903232).

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

12999168000 is a wasteful number, since it uses less digits than its factorization.

12999168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The spelling of 12999168000 in words is "twelve billion, nine hundred ninety-nine million, one hundred sixty-eight thousand".