212686705152 has 200 divisors, whose sum is σ = 672158029356. Its totient is φ = 66725019648.

The previous prime is 212686705069. The next prime is 212686705163. The reversal of 212686705152 is 251507686212.

212686705152 is a `hidden beast` number, since 2 + 1 + 2 + 68 + 6 + 70 + 515 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 168546375936 + 44140329216 = 410544^2 + 210096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212686705098 and 212686705107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 554188 + ... + 855860.

Almost surely, 2^212686705152 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 212686705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336079014678).

212686705152 is an abundant number, since it is smaller than the sum of its proper divisors (459471324204).

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

212686705152 is an equidigital number, since it uses as much as digits as its factorization.

212686705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301720 (or 301695 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 212686705152 in words is "two hundred twelve billion, six hundred eighty-six million, seven hundred five thousand, one hundred fifty-two".