212285840000 has 640 divisors, whose sum is σ = 600638734080. Its totient is φ = 74188800000.

The previous prime is 212285839999. The next prime is 212285840003. The reversal of 212285840000 is 48582212.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (212285840003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2101839950 + ... + 2101840050.

It is an arithmetic number, because the mean of its divisors is an integer number (938498022).

Almost surely, 2^212285840000 is an apocalyptic number.

212285840000 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 212285840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300319367040).

212285840000 is an abundant number, since it is smaller than the sum of its proper divisors (388352894080).

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

212285840000 is a wasteful number, since it uses less digits than its factorization.

212285840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The spelling of 212285840000 in words is "two hundred twelve billion, two hundred eighty-five million, eight hundred forty thousand".