12771618081120 has 288 divisors, whose sum is σ = 44127694447200. Its totient is φ = 3363247890432.

The previous prime is 12771618081083. The next prime is 12771618081121. The reversal of 12771618081120 is 2118081617721.

12771618081120 is a `hidden beast` number, since 1 + 2 + 7 + 7 + 1 + 618 + 0 + 8 + 1 + 1 + 20 = 666.

12771618081120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×12771618081120² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12771618081121) 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, 285510916 + ... + 285555644.

It is an arithmetic number, because the mean of its divisors is an integer number (153221161275).

Almost surely, 2^{12771618081120} is an apocalyptic number.

12771618081120 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 12771618081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063847223600).

12771618081120 is an abundant number, since it is smaller than the sum of its proper divisors (31356076366080).

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

12771618081120 is a wasteful number, since it uses less digits than its factorization.

12771618081120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47222 (or 47211 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 45.

Adding to 12771618081120 its reverse (2118081617721), we get a palindrome (14889699698841).

The spelling of 12771618081120 in words is "twelve trillion, seven hundred seventy-one billion, six hundred eighteen million, eighty-one thousand, one hundred twenty".