12928141362960 has 320 divisors, whose sum is σ = 46132735887360. Its totient is φ = 3324245391360.

The previous prime is 12928141362947. The next prime is 12928141362967. The reversal of 12928141362960 is 6926314182921.

It is a happy number.

12928141362960 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 1 + 4 + 1 + 3 + 629 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12928141362897 and 12928141362906.

It is not an unprimeable number, because it can be changed into a prime (12928141362967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18199414 + ... + 18896426.

It is an arithmetic number, because the mean of its divisors is an integer number (144164799648).

Almost surely, 2^{12928141362960} is an apocalyptic number.

12928141362960 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 12928141362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23066367943680).

12928141362960 is an abundant number, since it is smaller than the sum of its proper divisors (33204594524400).

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

12928141362960 is a wasteful number, since it uses less digits than its factorization.

12928141362960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697343 (or 697331 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 12928141362960 in words is "twelve trillion, nine hundred twenty-eight billion, one hundred forty-one million, three hundred sixty-two thousand, nine hundred sixty".