212210544000 has 1024 divisors, whose sum is σ = 911744870400. Its totient is φ = 42400972800.

The previous prime is 212210543893. The next prime is 212210544017. The reversal of 212210544000 is 445012212.

212210544000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 82990722 + ... + 82993278.

It is an arithmetic number, because the mean of its divisors is an integer number (890375850).

Almost surely, 2^212210544000 is an apocalyptic number.

212210544000 is a gapful number since it is divisible by the number (20) 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 212210544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455872435200).

212210544000 is an abundant number, since it is smaller than the sum of its proper divisors (699534326400).

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

212210544000 is a wasteful number, since it uses less digits than its factorization.

212210544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 212210544000 its reverse (445012212), we get a palindrome (212655556212).

The spelling of 212210544000 in words is "two hundred twelve billion, two hundred ten million, five hundred forty-four thousand".