2121113200 has 60 divisors (see below), whose sum is σ = 5110213600. Its totient is φ = 846074880.

The previous prime is 2121113177. The next prime is 2121113201. The reversal of 2121113200 is 23111212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121113201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139576 + ... + 154024.

Almost surely, 2^2121113200 is an apocalyptic number.

2121113200 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 2121113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555106800).

2121113200 is an abundant number, since it is smaller than the sum of its proper divisors (2989100400).

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

2121113200 is a wasteful number, since it uses less digits than its factorization.

2121113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14834 (or 14823 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2121113200 is about 46055.5447259068. The cubic root of 2121113200 is about 1284.8564693053.

Adding to 2121113200 its reverse (23111212), we get a palindrome (2144224412).

The spelling of 2121113200 in words is "two billion, one hundred twenty-one million, one hundred thirteen thousand, two hundred".