12122715369361 has 81 divisors (see below), whose sum is σ = 13592697599793. Its totient is φ = 10809639308160.

The previous prime is 12122715369313. The next prime is 12122715369383. The reversal of 12122715369361 is 16396351722121.

The square root of 12122715369361 is 3481769.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1110007637761 + 11012707731600 = 1053569^2 + 3318540^2 .

It is not a de Polignac number, because 12122715369361 - 2¹⁷ = 12122715238289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12122715363361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 136210285005 + ... + 136210285093.

Almost surely, 2^{12122715369361} is an apocalyptic number.

12122715369361 is the 3481769-th square number.

12122715369361 is the 1740885-th centered octagonal number.

It is an amenable number.

12122715369361 is a deficient number, since it is larger than the sum of its proper divisors (1469982230432).

12122715369361 is an frugal number, since it uses more digits than its factorization.

12122715369361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 208 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

Multiplying 12122715369361 by its sum of digits (49), we get a square (594013053098689 = 24372383²).

The spelling of 12122715369361 in words is "twelve trillion, one hundred twenty-two billion, seven hundred fifteen million, three hundred sixty-nine thousand, three hundred sixty-one".