212012200320 has 128 divisors (see below), whose sum is σ = 679328225280. Its totient is φ = 56240486400.

The previous prime is 212012200303. The next prime is 212012200349. The reversal of 212012200320 is 23002210212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212012200320.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77655 + ... + 655785.

It is an arithmetic number, because the mean of its divisors is an integer number (5307251760).

Almost surely, 2^212012200320 is an apocalyptic number.

212012200320 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 212012200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339664112640).

212012200320 is an abundant number, since it is smaller than the sum of its proper divisors (467316024960).

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

212012200320 is a wasteful number, since it uses less digits than its factorization.

212012200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578344 (or 578332 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212012200320 its reverse (23002210212), we get a palindrome (235014410532).

The spelling of 212012200320 in words is "two hundred twelve billion, twelve million, two hundred thousand, three hundred twenty".