12771772260000 has 960 divisors, whose sum is σ = 49130415734400. Its totient is φ = 2875557888000.

The previous prime is 12771772259999. The next prime is 12771772260007. The reversal of 12771772260000 is 6227717721.

It is a super-2 number, since 2×12771772260000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12771772260007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 429765142 + ... + 429794858.

It is an arithmetic number, because the mean of its divisors is an integer number (51177516390).

Almost surely, 2^{12771772260000} is an apocalyptic number.

12771772260000 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 12771772260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24565207867200).

12771772260000 is an abundant number, since it is smaller than the sum of its proper divisors (36358643474400).

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

12771772260000 is a wasteful number, since it uses less digits than its factorization.

12771772260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29811 (or 29788 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

Adding to 12771772260000 its reverse (6227717721), we get a palindrome (12777999977721).

The spelling of 12771772260000 in words is "twelve trillion, seven hundred seventy-one billion, seven hundred seventy-two million, two hundred sixty thousand".