2121312200 has 96 divisors (see below), whose sum is σ = 5645799360. Its totient is φ = 726124800.

The previous prime is 2121312143. The next prime is 2121312233. The reversal of 2121312200 is 22131212.

It is a happy number.

2121312200 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (14).

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 23 ways as a sum of consecutive naturals, for example, 1652759 + ... + 1654041.

It is an arithmetic number, because the mean of its divisors is an integer number (58810410).

Almost surely, 2^2121312200 is an apocalyptic number.

2121312200 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 2121312200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822899680).

2121312200 is an abundant number, since it is smaller than the sum of its proper divisors (3524487160).

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

2121312200 is a wasteful number, since it uses less digits than its factorization.

2121312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2121312200 is about 46057.7051100030. The cubic root of 2121312200 is about 1284.8966492199.

Adding to 2121312200 its reverse (22131212), we get a palindrome (2143443412).

The spelling of 2121312200 in words is "two billion, one hundred twenty-one million, three hundred twelve thousand, two hundred".