212005281984 has 224 divisors, whose sum is σ = 613930598400. Its totient is φ = 64318510080.

The previous prime is 212005281973. The next prime is 212005281991. The reversal of 212005281984 is 489182500212.

212005281984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15712489 + ... + 15725975.

It is an arithmetic number, because the mean of its divisors is an integer number (2740761600).

Almost surely, 2^212005281984 is an apocalyptic number.

212005281984 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 212005281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306965299200).

212005281984 is an abundant number, since it is smaller than the sum of its proper divisors (401925316416).

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

212005281984 is a wasteful number, since it uses less digits than its factorization.

212005281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13691 (or 13681 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 212005281984 in words is "two hundred twelve billion, five million, two hundred eighty-one thousand, nine hundred eighty-four".