212381782272 has 432 divisors, whose sum is σ = 733549182912. Its totient is φ = 60569026560.

The previous prime is 212381782247. The next prime is 212381782313. The reversal of 212381782272 is 272287183212.

212381782272 is a `hidden beast` number, since 21 + 238 + 178 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11623768 + ... + 11642024.

It is an arithmetic number, because the mean of its divisors is an integer number (1698030516).

Almost surely, 2^212381782272 is an apocalyptic number.

212381782272 is a gapful number since it is divisible by the number (22) 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 212381782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366774591456).

212381782272 is an abundant number, since it is smaller than the sum of its proper divisors (521167400640).

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

212381782272 is a wasteful number, since it uses less digits than its factorization.

212381782272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18316 (or 18290 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 212381782272 in words is "two hundred twelve billion, three hundred eighty-one million, seven hundred eighty-two thousand, two hundred seventy-two".