12262604256 has 576 divisors, whose sum is σ = 44381675520. Its totient is φ = 3252856320.

The previous prime is 12262604243. The next prime is 12262604257. The reversal of 12262604256 is 65240626221.

12262604256 is a `hidden beast` number, since 1 + 2 + 2 + 626 + 0 + 4 + 25 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12262604256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12262604257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73428685 + ... + 73428851.

It is an arithmetic number, because the mean of its divisors is an integer number (77051520).

Almost surely, 2^12262604256 is an apocalyptic number.

12262604256 is a gapful number since it is divisible by the number (16) 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 12262604256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190837760).

12262604256 is an abundant number, since it is smaller than the sum of its proper divisors (32119071264).

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

12262604256 is a wasteful number, since it uses less digits than its factorization.

12262604256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12262604256 in words is "twelve billion, two hundred sixty-two million, six hundred four thousand, two hundred fifty-six".