12281973760 has 176 divisors, whose sum is σ = 33825217536. Its totient is φ = 4191731712.

The previous prime is 12281973719. The next prime is 12281973763. The reversal of 12281973760 is 6737918221.

It is a self number, because there is not a number n which added to its sum of digits gives 12281973760.

It is not an unprimeable number, because it can be changed into a prime (12281973763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9425269 + ... + 9426571.

It is an arithmetic number, because the mean of its divisors is an integer number (192188736).

Almost surely, 2^12281973760 is an apocalyptic number.

12281973760 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 12281973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16912608768).

12281973760 is an abundant number, since it is smaller than the sum of its proper divisors (21543243776).

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

12281973760 is a wasteful number, since it uses less digits than its factorization.

12281973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 12281973760 in words is "twelve billion, two hundred eighty-one million, nine hundred seventy-three thousand, seven hundred sixty".