12775113640300 has 144 divisors (see below), whose sum is σ = 30648138393600. Its totient is φ = 4583362291200.

The previous prime is 12775113640291. The next prime is 12775113640307. The reversal of 12775113640300 is 304631157721.

It is not an unprimeable number, because it can be changed into a prime (12775113640307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45186781 + ... + 45468619.

It is an arithmetic number, because the mean of its divisors is an integer number (212834294400).

Almost surely, 2^{12775113640300} is an apocalyptic number.

12775113640300 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 12775113640300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324069196800).

12775113640300 is an abundant number, since it is smaller than the sum of its proper divisors (17873024753300).

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

12775113640300 is a wasteful number, since it uses less digits than its factorization.

12775113640300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282416 (or 282409 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 12775113640300 in words is "twelve trillion, seven hundred seventy-five billion, one hundred thirteen million, six hundred forty thousand, three hundred".