212088742272 has 384 divisors, whose sum is σ = 705171467520. Its totient is φ = 60551884800.

The previous prime is 212088742211. The next prime is 212088742279. The reversal of 212088742272 is 272247880212.

It is a happy number.

212088742272 is a `hidden beast` number, since 212 + 0 + 8 + 8 + 7 + 422 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212088742279) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19522122 + ... + 19532982.

It is an arithmetic number, because the mean of its divisors is an integer number (1836384030).

Almost surely, 2^212088742272 is an apocalyptic number.

212088742272 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 212088742272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352585733760).

212088742272 is an abundant number, since it is smaller than the sum of its proper divisors (493082725248).

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

212088742272 is a wasteful number, since it uses less digits than its factorization.

212088742272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10982 (or 10967 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 212088742272 in words is "two hundred twelve billion, eighty-eight million, seven hundred forty-two thousand, two hundred seventy-two".