212434420240 has 160 divisors (see below), whose sum is σ = 595238688000. Its totient is φ = 68878024704.

The previous prime is 212434420169. The next prime is 212434420241. The reversal of 212434420240 is 42024434212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 212434420199 and 212434420208.

It is not an unprimeable number, because it can be changed into a prime (212434420241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6036616 + ... + 6071704.

It is an arithmetic number, because the mean of its divisors is an integer number (3720241800).

Almost surely, 2^212434420240 is an apocalyptic number.

212434420240 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 212434420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297619344000).

212434420240 is an abundant number, since it is smaller than the sum of its proper divisors (382804267760).

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

212434420240 is a wasteful number, since it uses less digits than its factorization.

212434420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35697 (or 35691 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 212434420240 its reverse (42024434212), we get a palindrome (254458854452).

The spelling of 212434420240 in words is "two hundred twelve billion, four hundred thirty-four million, four hundred twenty thousand, two hundred forty".