126629934201 has 45 divisors (see below), whose sum is σ = 199739174943. Its totient is φ = 79938368640.

The previous prime is 126629934191. The next prime is 126629934227. The reversal of 126629934201 is 102439926621.

The square root of 126629934201 is 355851.

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

126629934201 is a `hidden beast` number, since 12 + 6 + 6 + 299 + 342 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47983340601 + 78646593600 = 219051^2 + 280440^2 .

It is not a de Polignac number, because 126629934201 - 2¹¹ = 126629932153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (126629934701) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 60849481 + ... + 60851561.

Almost surely, 2^126629934201 is an apocalyptic number.

126629934201 is the 355851-st square number.

126629934201 is the 177926-th centered octagonal number.

It is an amenable number.

126629934201 is a deficient number, since it is larger than the sum of its proper divisors (73109240742).

126629934201 is an frugal number, since it uses more digits than its factorization.

126629934201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 126629934201 in words is "one hundred twenty-six billion, six hundred twenty-nine million, nine hundred thirty-four thousand, two hundred one".