127212299418649 has 9 divisors (see below), whose sum is σ = 127385812351519. Its totient is φ = 127039022553640.

The previous prime is 127212299418641. The next prime is 127212299418661. The reversal of 127212299418649 is 946814992212721.

The square root of 127212299418649 is 11278843.

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., 8095419110025 + 119116880308624 = 2845245^2 + 10914068^2 .

It is not a de Polignac number, because 127212299418649 - 2³ = 127212299418641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (127212299418641) 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 8 ways as a sum of consecutive naturals, for example, 8718538344 + ... + 8718552934.

Almost surely, 2^{127212299418649} is an apocalyptic number.

127212299418649 is the 11278843-rd square number.

127212299418649 is the 5639422-nd centered octagonal number.

It is an amenable number.

127212299418649 is a deficient number, since it is larger than the sum of its proper divisors (173512932870).

127212299418649 is an frugal number, since it uses more digits than its factorization.

127212299418649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30728 (or 15364 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 67.

The spelling of 127212299418649 in words is "one hundred twenty-seven trillion, two hundred twelve billion, two hundred ninety-nine million, four hundred eighteen thousand, six hundred forty-nine".