12262822668288 has 480 divisors, whose sum is σ = 37389291619680. Its totient is φ = 4019791380480.

The previous prime is 12262822668263. The next prime is 12262822668319. The reversal of 12262822668288 is 88286622826221.

12262822668288 is a `hidden beast` number, since 12 + 2 + 6 + 2 + 82 + 266 + 8 + 288 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2458955331 + ... + 2458960317.

It is an arithmetic number, because the mean of its divisors is an integer number (77894357541).

Almost surely, 2^{12262822668288} is an apocalyptic number.

12262822668288 is a gapful number since it is divisible by the number (18) 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 12262822668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18694645809840).

12262822668288 is an abundant number, since it is smaller than the sum of its proper divisors (25126468951392).

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

12262822668288 is an frugal number, since it uses more digits than its factorization.

12262822668288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097 (or 5053 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 63.

The spelling of 12262822668288 in words is "twelve trillion, two hundred sixty-two billion, eight hundred twenty-two million, six hundred sixty-eight thousand, two hundred eighty-eight".