12771117268900 has 81 divisors (see below), whose sum is σ = 28704238497571. Its totient is φ = 4931893314880.

The previous prime is 12771117268883. The next prime is 12771117268957. The reversal of 12771117268900 is 986271117721.

The square root of 12771117268900 is 3573670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 175545916324 + 12595571352576 = 418982^2 + 3549024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1036358139 + ... + 1036370461.

Almost surely, 2^{12771117268900} is an apocalyptic number.

12771117268900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12771117268900 is the 3573670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12771117268900

12771117268900 is an abundant number, since it is smaller than the sum of its proper divisors (15933121228671).

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

12771117268900 is an frugal number, since it uses more digits than its factorization.

12771117268900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24718 (or 12359 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 52.

The spelling of 12771117268900 in words is "twelve trillion, seven hundred seventy-one billion, one hundred seventeen million, two hundred sixty-eight thousand, nine hundred".