12268022256 has 360 divisors, whose sum is σ = 43518119424. Its totient is φ = 3153807360.

The previous prime is 12268022231. The next prime is 12268022293. The reversal of 12268022256 is 65222086221.

It is a super-2 number, since 2×12268022256² (a number of 21 digits) contains 22 as substring.

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 12268022256.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6699261 + ... + 6701091.

Almost surely, 2^12268022256 is an apocalyptic number.

12268022256 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 12268022256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21759059712).

12268022256 is an abundant number, since it is smaller than the sum of its proper divisors (31250097168).

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

12268022256 is a wasteful number, since it uses less digits than its factorization.

12268022256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 12268022256 in words is "twelve billion, two hundred sixty-eight million, twenty-two thousand, two hundred fifty-six".