212301103200 has 144 divisors (see below), whose sum is σ = 693093295440. Its totient is φ = 56445419520.

The previous prime is 212301103171. The next prime is 212301103207. The reversal of 212301103200 is 2301103212.

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 212301103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212301103207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677556 + ... + 940044.

It is an arithmetic number, because the mean of its divisors is an integer number (4813147885).

Almost surely, 2^212301103200 is an apocalyptic number.

212301103200 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 212301103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346546647720).

212301103200 is an abundant number, since it is smaller than the sum of its proper divisors (480792192240).

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

212301103200 is a wasteful number, since it uses less digits than its factorization.

212301103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262849 (or 262836 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212301103200 its reverse (2301103212), we get a palindrome (214602206412).

The spelling of 212301103200 in words is "two hundred twelve billion, three hundred one million, one hundred three thousand, two hundred".