212124164 has 48 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 84464640.

The previous prime is 212124149. The next prime is 212124173. The reversal of 212124164 is 461421212.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34784 + ... + 40424.

It is an arithmetic number, because the mean of its divisors is an integer number (9478560).

Almost surely, 2^212124164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212124164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).

212124164 is an abundant number, since it is smaller than the sum of its proper divisors (242846716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212124164 is a wasteful number, since it uses less digits than its factorization.

212124164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5748 (or 5746 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 212124164 is about 14564.4829637032. The cubic root of 212124164 is about 596.3895813342.

Adding to 212124164 its reverse (461421212), we get a palindrome (673545376).

The spelling of 212124164 in words is "two hundred twelve million, one hundred twenty-four thousand, one hundred sixty-four".