212430421122444 has 288 divisors, whose sum is σ = 624286836992000. Its totient is φ = 59653591216128.

The previous prime is 212430421122313. The next prime is 212430421122461. The reversal of 212430421122444 is 444221124034212.

212430421122444 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 3 + 0 + 421 + 1 + 224 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 212430421122399 and 212430421122408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5684650992 + ... + 5684688360.

Almost surely, 2^{212430421122444} 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 212430421122444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312143418496000).

212430421122444 is an abundant number, since it is smaller than the sum of its proper divisors (411856415869556).

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

212430421122444 is a wasteful number, since it uses less digits than its factorization.

212430421122444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38757 (or 38752 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 212430421122444 its reverse (444221124034212), we get a palindrome (656651545156656).

The spelling of 212430421122444 in words is "two hundred twelve trillion, four hundred thirty billion, four hundred twenty-one million, one hundred twenty-two thousand, four hundred forty-four".