212129 has 6 divisors (see below), whose sum is σ = 222306. Its totient is φ = 202400.

The previous prime is 212123. The next prime is 212131. The reversal of 212129 is 921212.

212129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 211600 + 529 = 460^2 + 23^2 .

It is not a de Polignac number, because 212129 - 2⁸ = 211873 is a prime.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212123) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 329 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (37051).

2²¹²¹²⁹ is an apocalyptic number.

It is an amenable number.

212129 is a deficient number, since it is larger than the sum of its proper divisors (10177).

212129 is an equidigital number, since it uses as much as digits as its factorization.

212129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its digits is 72, while the sum is 17.

The square root of 212129 is about 460.5746410735. The cubic root of 212129 is about 59.6394113457.

The spelling of 212129 in words is "two hundred twelve thousand, one hundred twenty-nine".