212124240 has 120 divisors (see below), whose sum is σ = 719683848. Its totient is φ = 55987200.

The previous prime is 212124229. The next prime is 212124247. The reversal of 212124240 is 42421212.

It can be written as a sum of positive squares in 4 ways, for example, as 148060224 + 64064016 = 12168^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212124247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71262 + ... + 74178.

Almost surely, 2^212124240 is an apocalyptic number.

212124240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359841924).

212124240 is an abundant number, since it is smaller than the sum of its proper divisors (507559608).

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

212124240 is a wasteful number, since it uses less digits than its factorization.

212124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3037 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 212124240 is about 14564.4855727897. The cubic root of 212124240 is about 596.3896525592.

Adding to 212124240 its reverse (42421212), we get a palindrome (254545452).

It can be divided in two parts, 21212 and 4240, that added together give a palindrome (25452).

The spelling of 212124240 in words is "two hundred twelve million, one hundred twenty-four thousand, two hundred forty".