12411605606401 has 16 divisors (see below), whose sum is σ = 13067098284240. Its totient is φ = 11773369681920.

The previous prime is 12411605606383. The next prime is 12411605606419. The reversal of 12411605606401 is 10460650611421.

It is an interprime number because it is at equal distance from previous prime (12411605606383) and next prime (12411605606419).

It can be written as a sum of positive squares in 8 ways, for example, as 972166420225 + 11439439186176 = 985985^2 + 3382224^2 .

It is a cyclic number.

It is not a de Polignac number, because 12411605606401 - 2¹¹ = 12411605604353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12411605606801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 694936 + ... + 5030521.

It is an arithmetic number, because the mean of its divisors is an integer number (816693642765).

Almost surely, 2^{12411605606401} is an apocalyptic number.

It is an amenable number.

12411605606401 is a deficient number, since it is larger than the sum of its proper divisors (655492677839).

12411605606401 is a wasteful number, since it uses less digits than its factorization.

12411605606401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5726964.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 12411605606401 in words is "twelve trillion, four hundred eleven billion, six hundred five million, six hundred six thousand, four hundred one".