212101044121224 has 384 divisors, whose sum is σ = 611752838860800. Its totient is φ = 68814214640640.

The previous prime is 212101044121201. The next prime is 212101044121237. The reversal of 212101044121224 is 422121440101212.

212101044121224 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 0 + 1 + 0 + 441 + 212 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 30055408704 + ... + 30055415760.

It is an arithmetic number, because the mean of its divisors is an integer number (1593106351200).

Almost surely, 2^{212101044121224} is an apocalyptic number.

212101044121224 is a gapful number since it is divisible by the number (24) 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 212101044121224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305876419430400).

212101044121224 is an abundant number, since it is smaller than the sum of its proper divisors (399651794739576).

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

212101044121224 is a wasteful number, since it uses less digits than its factorization.

212101044121224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8895 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 212101044121224 its reverse (422121440101212), we get a palindrome (634222484222436).

The spelling of 212101044121224 in words is "two hundred twelve trillion, one hundred one billion, forty-four million, one hundred twenty-one thousand, two hundred twenty-four".