12068808012361 has 9 divisors (see below), whose sum is σ = 12143873810439. Its totient is φ = 11994203454336.

The previous prime is 12068808012347. The next prime is 12068808012397. The reversal of 12068808012361 is 16321080886021.

The square root of 12068808012361 is 3474019.

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

It can be written as a sum of positive squares in only one way, i.e., 3182780881225 + 8886027131136 = 1784035^2 + 2980944^2 .

It is not a de Polignac number, because 12068808012361 - 2¹⁵ = 12068807979593 is a prime.

It is a super-2 number, since 2×12068808012361² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12068808012301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 566254441 + ... + 566275753.

It is an arithmetic number, because the mean of its divisors is an integer number (1349319312271).

Almost surely, 2^{12068808012361} is an apocalyptic number.

12068808012361 is the 3474019-th square number.

12068808012361 is the 1737010-th centered octagonal number.

It is an amenable number.

12068808012361 is a deficient number, since it is larger than the sum of its proper divisors (75065798078).

12068808012361 is an frugal number, since it uses more digits than its factorization.

12068808012361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42952 (or 21476 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

Adding to 12068808012361 its reverse (16321080886021), we get a palindrome (28389888898382).

The spelling of 12068808012361 in words is "twelve trillion, sixty-eight billion, eight hundred eight million, twelve thousand, three hundred sixty-one".