12421368960 has 1024 divisors, whose sum is σ = 55668695040. Its totient is φ = 2270822400.

The previous prime is 12421368931. The next prime is 12421369007. The reversal of 12421368960 is 6986312421.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44204020 + ... + 44204300.

It is an arithmetic number, because the mean of its divisors is an integer number (54363960).

Almost surely, 2^12421368960 is an apocalyptic number.

12421368960 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 12421368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834347520).

12421368960 is an abundant number, since it is smaller than the sum of its proper divisors (43247326080).

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

12421368960 is a wasteful number, since it uses less digits than its factorization.

12421368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 12421368960 in words is "twelve billion, four hundred twenty-one million, three hundred sixty-eight thousand, nine hundred sixty".