212133129 has 16 divisors (see below), whose sum is σ = 306832512. Its totient is φ = 129587328.

The previous prime is 212133127. The next prime is 212133149. The reversal of 212133129 is 921331212.

It is not a de Polignac number, because 212133129 - 2¹ = 212133127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212133099 and 212133108.

It is not an unprimeable number, because it can be changed into a prime (212133127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14509 + ... + 25194.

It is an arithmetic number, because the mean of its divisors is an integer number (19177032).

Almost surely, 2^212133129 is an apocalyptic number.

It is an amenable number.

212133129 is a deficient number, since it is larger than the sum of its proper divisors (94699383).

212133129 is a wasteful number, since it uses less digits than its factorization.

212133129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39856.

The product of its digits is 648, while the sum is 24.

The square root of 212133129 is about 14564.7907297015. The cubic root of 212133129 is about 596.3979829502.

It can be divided in two parts, 21213 and 3129, that added together give a palindrome (24342).

The spelling of 212133129 in words is "two hundred twelve million, one hundred thirty-three thousand, one hundred twenty-nine".