12611065401 has 81 divisors (see below), whose sum is σ = 20773034191. Its totient is φ = 7366814400.

The previous prime is 12611065399. The next prime is 12611065417. The reversal of 12611065401 is 10456011621.

The square root of 12611065401 is 112299.

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

12611065401 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 1 + 0 + 654 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 607671801 + 12003393600 = 24651^2 + 109560^2 .

It is not a de Polignac number, because 12611065401 - 2¹ = 12611065399 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12611065421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 151940506 + ... + 151940588.

Almost surely, 2^12611065401 is an apocalyptic number.

12611065401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12611065401 is the 112299-th square number.

12611065401 is the 56150-th centered octagonal number.

It is an amenable number.

12611065401 is a deficient number, since it is larger than the sum of its proper divisors (8161968790).

12611065401 is an equidigital number, since it uses as much as digits as its factorization.

12611065401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12611065401 in words is "twelve billion, six hundred eleven million, sixty-five thousand, four hundred one".