129229627862241 has 27 divisors (see below), whose sum is σ = 187185227655699. Its totient is φ = 85913654089392.

The previous prime is 129229627862161. The next prime is 129229627862281. The reversal of 129229627862241 is 142268726922921.

The square root of 129229627862241 is 11367921.

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

129229627862241 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 296 + 27 + 86 + 2 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70244094380625 + 58985533481616 = 8381175^2 + 7680204^2 .

It is not a de Polignac number, because 129229627862241 - 2⁷ = 129229627862113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129229627862281) 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, 12720698520 + ... + 12720708678.

Almost surely, 2^{129229627862241} is an apocalyptic number.

129229627862241 is the 11367921-st square number.

129229627862241 is the 5683961-st centered octagonal number.

It is an amenable number.

129229627862241 is a deficient number, since it is larger than the sum of its proper divisors (57955599793458).

129229627862241 is an frugal number, since it uses more digits than its factorization.

129229627862241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21070 (or 10535 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 129229627862241 in words is "one hundred twenty-nine trillion, two hundred twenty-nine billion, six hundred twenty-seven million, eight hundred sixty-two thousand, two hundred forty-one".