12841155600 has 720 divisors, whose sum is σ = 52344024768. Its totient is φ = 2666926080.

The previous prime is 12841155589. The next prime is 12841155611. The reversal of 12841155600 is 655114821.

12841155600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12841155589) and next prime (12841155611).

It is a super-2 number, since 2×12841155600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81790722 + ... + 81790878.

Almost surely, 2^12841155600 is an apocalyptic number.

12841155600 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 12841155600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26172012384).

12841155600 is an abundant number, since it is smaller than the sum of its proper divisors (39502869168).

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

12841155600 is a wasteful number, since it uses less digits than its factorization.

12841155600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

It can be divided in two parts, 1284 and 1155600, that multiplied together give a square (1483790400 = 38520²).

The spelling of 12841155600 in words is "twelve billion, eight hundred forty-one million, one hundred fifty-five thousand, six hundred".