12768774001 has 21 divisors (see below), whose sum is σ = 14182330351. Its totient is φ = 11495162272.

The previous prime is 12768773999. The next prime is 12768774017. The reversal of 12768774001 is 10047786721.

The square root of 12768774001 is 112999.

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

It can be written as a sum of positive squares in 3 ways, for example, as 129618225 + 12639155776 = 11385^2 + 112424^2 .

It is not a de Polignac number, because 12768774001 - 2¹ = 12768773999 is a prime.

It is a super-2 number, since 2×12768774001² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12768774061) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 555164076 + ... + 555164098.

Almost surely, 2^12768774001 is an apocalyptic number.

12768774001 is the 112999-th square number.

12768774001 is the 56500-th centered octagonal number.

It is an amenable number.

12768774001 is a deficient number, since it is larger than the sum of its proper divisors (1413556350).

12768774001 is an frugal number, since it uses more digits than its factorization.

12768774001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 43.

It can be divided in two parts, 12768 and 774001, that added together give a square (786769 = 887²).

The spelling of 12768774001 in words is "twelve billion, seven hundred sixty-eight million, seven hundred seventy-four thousand, one".