212124444 has 144 divisors (see below), whose sum is σ = 615659520. Its totient is φ = 55560960.

The previous prime is 212124443. The next prime is 212124449. The reversal of 212124444 is 444421212.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212124443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4002322 + ... + 4002374.

Almost surely, 2^212124444 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 212124444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307829760).

212124444 is an abundant number, since it is smaller than the sum of its proper divisors (403535076).

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

212124444 is a wasteful number, since it uses less digits than its factorization.

212124444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 125 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 212124444 is about 14564.4925761250. The cubic root of 212124444 is about 596.3898437419.

Adding to 212124444 its reverse (444421212), we get a palindrome (656545656).

It can be divided in two parts, 2121 and 24444, that added together give a triangular number (26565 = T₂₃₀).

The spelling of 212124444 in words is "two hundred twelve million, one hundred twenty-four thousand, four hundred forty-four".