12622276128 has 288 divisors, whose sum is σ = 42568001280. Its totient is φ = 3237911040.

The previous prime is 12622276081. The next prime is 12622276133. The reversal of 12622276128 is 82167222621.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4293283 + ... + 4296221.

It is an arithmetic number, because the mean of its divisors is an integer number (147805560).

Almost surely, 2^12622276128 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 12622276128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284000640).

12622276128 is an abundant number, since it is smaller than the sum of its proper divisors (29945725152).

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

12622276128 is a wasteful number, since it uses less digits than its factorization.

12622276128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3045 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

Adding to 12622276128 its reverse (82167222621), we get a palindrome (94789498749).

The spelling of 12622276128 in words is "twelve billion, six hundred twenty-two million, two hundred seventy-six thousand, one hundred twenty-eight".