212301112200 has 48 divisors (see below), whose sum is σ = 658133449680. Its totient is φ = 56613629760.

The previous prime is 212301112183. The next prime is 212301112201. The reversal of 212301112200 is 2211103212.

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 212301112200.

It is not an unprimeable number, because it can be changed into a prime (212301112201) 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 11 ways as a sum of consecutive naturals, for example, 176916994 + ... + 176918193.

It is an arithmetic number, because the mean of its divisors is an integer number (13711113535).

Almost surely, 2^212301112200 is an apocalyptic number.

212301112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212301112200 is an abundant number, since it is smaller than the sum of its proper divisors (445832337480).

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

212301112200 is a wasteful number, since it uses less digits than its factorization.

212301112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353835206 (or 353835197 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 212301112200 its reverse (2211103212), we get a palindrome (214512215412).

It can be divided in two parts, 2123011 and 12200, that added together give a triangular number (2135211 = T₂₀₆₆).

The spelling of 212301112200 in words is "two hundred twelve billion, three hundred one million, one hundred twelve thousand, two hundred".