12736873800 has 216 divisors, whose sum is σ = 49758631650. Its totient is φ = 2911265280.

The previous prime is 12736873771. The next prime is 12736873811. The reversal of 12736873800 is 837863721.

12736873800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12453220836 + 283652964 = 111594^2 + 16842^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 53 ways as a sum of consecutive naturals, for example, 15996 + ... + 160404.

Almost surely, 2^12736873800 is an apocalyptic number.

12736873800 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 12736873800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879315825).

12736873800 is an abundant number, since it is smaller than the sum of its proper divisors (37021757850).

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

12736873800 is a wasteful number, since it uses less digits than its factorization.

12736873800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144445 (or 144426 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 12736873800 in words is "twelve billion, seven hundred thirty-six million, eight hundred seventy-three thousand, eight hundred".