122279961132729 has 9 divisors (see below), whose sum is σ = 176626658443183. Its totient is φ = 81519951972432.

The previous prime is 122279961132709. The next prime is 122279961132767. The reversal of 122279961132729 is 927231169972221.

It is a happy number.

The square root of 122279961132729 is 11058027.

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

122279961132729 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 7 + 9 + 9 + 611 + 3 + 2 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44787856371129 + 77492104761600 = 6692373^2 + 8802960^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 122279961132729 - 2¹¹ = 122279961130681 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 (122279961132709) 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, 31331077 + ... + 35017085.

Almost surely, 2^{122279961132729} is an apocalyptic number.

122279961132729 is the 11058027-th square number.

122279961132729 is the 5529014-th centered octagonal number.

It is an amenable number.

122279961132729 is a deficient number, since it is larger than the sum of its proper divisors (54346697310454).

122279961132729 is an frugal number, since it uses more digits than its factorization.

122279961132729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372024 (or 3686012 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 122279961132729 in words is "one hundred twenty-two trillion, two hundred seventy-nine billion, nine hundred sixty-one million, one hundred thirty-two thousand, seven hundred twenty-nine".