12263612928 has 320 divisors, whose sum is σ = 39644605440. Its totient is φ = 3290775552.

The previous prime is 12263612899. The next prime is 12263612939. The reversal of 12263612928 is 82921636221.

12263612928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12263612928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35341651 + ... + 35341997.

It is an arithmetic number, because the mean of its divisors is an integer number (123889392).

Almost surely, 2^12263612928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12263612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19822302720).

12263612928 is an abundant number, since it is smaller than the sum of its proper divisors (27380992512).

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

12263612928 is a wasteful number, since it uses less digits than its factorization.

12263612928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 551 counting only the distinct ones).

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

The spelling of 12263612928 in words is "twelve billion, two hundred sixty-three million, six hundred twelve thousand, nine hundred twenty-eight".