212638110129 has 81 divisors (see below), whose sum is σ = 331132234251. Its totient is φ = 131476530240.

The previous prime is 212638110121. The next prime is 212638110149. The reversal of 212638110129 is 921011836212.

The square root of 212638110129 is 461127.

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

212638110129 is a `hidden beast` number, since 2 + 1 + 2 + 638 + 1 + 1 + 0 + 12 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10246095729 + 202392014400 = 101223^2 + 449880^2 .

It is not a de Polignac number, because 212638110129 - 2³ = 212638110121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212638110093 and 212638110102.

It is not an unprimeable number, because it can be changed into a prime (212638110121) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1304528202 + ... + 1304528364.

Almost surely, 2^212638110129 is an apocalyptic number.

212638110129 is the 461127-th square number.

212638110129 is the 230564-th centered octagonal number.

It is an amenable number.

212638110129 is a deficient number, since it is larger than the sum of its proper divisors (118494124122).

212638110129 is an equidigital number, since it uses as much as digits as its factorization.

212638110129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

Multiplying 212638110129 by its sum of digits (36), we get a square (7654971964644 = 2766762²).

The spelling of 212638110129 in words is "two hundred twelve billion, six hundred thirty-eight million, one hundred ten thousand, one hundred twenty-nine".