212117700056472 has 192 divisors, whose sum is σ = 668454662453760. Its totient is φ = 59513408640000.

The previous prime is 212117700056417. The next prime is 212117700056473. The reversal of 212117700056472 is 274650007711212.

It is a happy number.

212117700056472 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 17 + 7 + 0 + 0 + 0 + 564 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212117700056473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2826433 + ... + 20790000.

It is an arithmetic number, because the mean of its divisors is an integer number (3481534700280).

Almost surely, 2^{212117700056472} 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 212117700056472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334227331226880).

212117700056472 is an abundant number, since it is smaller than the sum of its proper divisors (456336962397288).

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

212117700056472 is a wasteful number, since it uses less digits than its factorization.

212117700056472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23616774 (or 23616767 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

Adding to 212117700056472 its reverse (274650007711212), we get a palindrome (486767707767684).

The spelling of 212117700056472 in words is "two hundred twelve trillion, one hundred seventeen billion, seven hundred million, fifty-six thousand, four hundred seventy-two".