12262440960 has 864 divisors, whose sum is σ = 54961949952. Its totient is φ = 2548039680.

The previous prime is 12262440959. The next prime is 12262440977. The reversal of 12262440960 is 6904426221.

12262440960 is a `hidden beast` number, since 1 + 22 + 624 + 4 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1114767355 + ... + 1114767365.

It is an arithmetic number, because the mean of its divisors is an integer number (63613368).

Almost surely, 2^12262440960 is an apocalyptic number.

12262440960 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 12262440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27480974976).

12262440960 is an abundant number, since it is smaller than the sum of its proper divisors (42699508992).

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

12262440960 is an frugal number, since it uses more digits than its factorization.

12262440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12262440960 in words is "twelve billion, two hundred sixty-two million, four hundred forty thousand, nine hundred sixty".