123968205078201 has 27 divisors (see below), whose sum is σ = 196824299229103. Its totient is φ = 75132022819920.

The previous prime is 123968205078083. The next prime is 123968205078233. The reversal of 123968205078201 is 102870502869321.

The square root of 123968205078201 is 11134101.

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

123968205078201 is a `hidden beast` number, since 1 + 2 + 3 + 96 + 8 + 20 + 507 + 8 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112600006029225 + 11368199048976 = 10611315^2 + 3371676^2 .

It is not a de Polignac number, because 123968205078201 - 2²⁵ = 123968171523769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123968205078251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 367256635 + ... + 367594031.

Almost surely, 2^{123968205078201} is an apocalyptic number.

123968205078201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123968205078201 is the 11134101-st square number.

123968205078201 is the 5567051-st centered octagonal number.

It is an amenable number.

123968205078201 is a deficient number, since it is larger than the sum of its proper divisors (72856094150902).

123968205078201 is an frugal number, since it uses more digits than its factorization.

123968205078201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674822 (or 337411 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 123968205078201 in words is "one hundred twenty-three trillion, nine hundred sixty-eight billion, two hundred five million, seventy-eight thousand, two hundred one".