12722859600 has 180 divisors, whose sum is σ = 44797945248. Its totient is φ = 3084294400.

The previous prime is 12722859599. The next prime is 12722859601. The reversal of 12722859600 is 695822721.

It is an interprime number because it is at equal distance from previous prime (12722859599) and next prime (12722859601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12722859601) 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 35 ways as a sum of consecutive naturals, for example, 101389 + ... + 189011.

Almost surely, 2^12722859600 is an apocalyptic number.

12722859600 is a gapful number since it is divisible by the number (10) 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 12722859600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22398972624).

12722859600 is an abundant number, since it is smaller than the sum of its proper divisors (32075085648).

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

12722859600 is a wasteful number, since it uses less digits than its factorization.

12722859600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87666 (or 87644 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 12722859600 in words is "twelve billion, seven hundred twenty-two million, eight hundred fifty-nine thousand, six hundred".