212420432224 has 192 divisors, whose sum is σ = 563358039552. Its totient is φ = 76142592000.

The previous prime is 212420432153. The next prime is 212420432233. The reversal of 212420432224 is 422234024212.

It is a happy number.

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 = 212420432192 and 212420432201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9823024 + ... + 9844624.

It is an arithmetic number, because the mean of its divisors is an integer number (2934156456).

Almost surely, 2^212420432224 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 212420432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281679019776).

212420432224 is an abundant number, since it is smaller than the sum of its proper divisors (350937607328).

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

212420432224 is a wasteful number, since it uses less digits than its factorization.

212420432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21949 (or 21941 counting only the distinct ones).

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

Adding to 212420432224 its reverse (422234024212), we get a palindrome (634654456436).

The spelling of 212420432224 in words is "two hundred twelve billion, four hundred twenty million, four hundred thirty-two thousand, two hundred twenty-four".