212201020320 has 96 divisors (see below), whose sum is σ = 707752842048. Its totient is φ = 53258293248.

The previous prime is 212201020249. The next prime is 212201020321. The reversal of 212201020320 is 23020102212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 212201020320.

It is not an unprimeable number, because it can be changed into a prime (212201020321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12994354 + ... + 13010673.

It is an arithmetic number, because the mean of its divisors is an integer number (7372425438).

Almost surely, 2^212201020320 is an apocalyptic number.

212201020320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212201020320 is an abundant number, since it is smaller than the sum of its proper divisors (495551821728).

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

212201020320 is a wasteful number, since it uses less digits than its factorization.

212201020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26005062 (or 26005054 counting only the distinct ones).

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

Adding to 212201020320 its reverse (23020102212), we get a palindrome (235221122532).

The spelling of 212201020320 in words is "two hundred twelve billion, two hundred one million, twenty thousand, three hundred twenty".