127922003888121 has 27 divisors (see below), whose sum is σ = 191369004077199. Its totient is φ = 82339966829232.

The previous prime is 127922003888101. The next prime is 127922003888141. The reversal of 127922003888121 is 121888300229721.

The square root of 127922003888121 is 11310261.

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

127922003888121 is a `hidden beast` number, since 1 + 27 + 9 + 220 + 0 + 388 + 8 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (127922003888101) and next prime (127922003888141).

It can be written as a sum of positive squares in only one way, i.e., 67079195855721 + 60842808032400 = 8190189^2 + 7800180^2 .

It is not a de Polignac number, because 127922003888121 - 2¹⁷ = 127922003757049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (127922003888101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 983927706 + ... + 984057708.

Almost surely, 2^{127922003888121} is an apocalyptic number.

127922003888121 is the 11310261-st square number.

127922003888121 is the 5655131-st centered octagonal number.

It is an amenable number.

127922003888121 is a deficient number, since it is larger than the sum of its proper divisors (63447000189078).

127922003888121 is an frugal number, since it uses more digits than its factorization.

127922003888121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260070 (or 130035 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 127922003888121 in words is "one hundred twenty-seven trillion, nine hundred twenty-two billion, three million, eight hundred eighty-eight thousand, one hundred twenty-one".