212224412040 has 128 divisors (see below), whose sum is σ = 659993132160. Its totient is φ = 54548895744.

The previous prime is 212224412033. The next prime is 212224412051. The reversal of 212224412040 is 40214422212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212224412040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251724 + ... + 698436.

It is an arithmetic number, because the mean of its divisors is an integer number (5156196345).

Almost surely, 2^212224412040 is an apocalyptic number.

212224412040 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 212224412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329996566080).

212224412040 is an abundant number, since it is smaller than the sum of its proper divisors (447768720120).

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

212224412040 is a wasteful number, since it uses less digits than its factorization.

212224412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446871 (or 446867 counting only the distinct ones).

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

Adding to 212224412040 its reverse (40214422212), we get a palindrome (252438834252).

The spelling of 212224412040 in words is "two hundred twelve billion, two hundred twenty-four million, four hundred twelve thousand, forty".