212038081708032 has 432 divisors, whose sum is σ = 641994833975040. Its totient is φ = 67309148307456.

The previous prime is 212038081708027. The next prime is 212038081708087. The reversal of 212038081708032 is 230807180830212.

212038081708032 is a `hidden beast` number, since 2 + 1 + 20 + 380 + 8 + 170 + 80 + 3 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6213188953 + ... + 6213223079.

It is an arithmetic number, because the mean of its divisors is an integer number (1486099152720).

Almost surely, 2^{212038081708032} 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 212038081708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320997416987520).

212038081708032 is an abundant number, since it is smaller than the sum of its proper divisors (429956752267008).

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

212038081708032 is an equidigital number, since it uses as much as digits as its factorization.

212038081708032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34419 (or 34384 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 212038081708032 in words is "two hundred twelve trillion, thirty-eight billion, eighty-one million, seven hundred eight thousand, thirty-two".