12001792896960 has 448 divisors, whose sum is σ = 40232647268352. Its totient is φ = 3027947618304.

The previous prime is 12001792896931. The next prime is 12001792897001. The reversal of 12001792896960 is 6969829710021.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 12001792896894 and 12001792896903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188163634 + ... + 188227406.

It is an arithmetic number, because the mean of its divisors is an integer number (89805016224).

Almost surely, 2^{12001792896960} is an apocalyptic number.

12001792896960 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 12001792896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20116323634176).

12001792896960 is an abundant number, since it is smaller than the sum of its proper divisors (28230854371392).

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

12001792896960 is a wasteful number, since it uses less digits than its factorization.

12001792896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63980 (or 63970 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 12001792896960 in words is "twelve trillion, one billion, seven hundred ninety-two million, eight hundred ninety-six thousand, nine hundred sixty".