2121352200 has 384 divisors, whose sum is σ = 8099481600. Its totient is φ = 506016000.

The previous prime is 2121352199. The next prime is 2121352213. The reversal of 2121352200 is 22531212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4217149 + ... + 4217651.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^2121352200 is an apocalyptic number.

2121352200 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 2121352200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049740800).

2121352200 is an abundant number, since it is smaller than the sum of its proper divisors (5978129400).

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

2121352200 is a wasteful number, since it uses less digits than its factorization.

2121352200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2121352200 is about 46058.1393458312. The cubic root of 2121352200 is about 1284.9047252813.

Adding to 2121352200 its reverse (22531212), we get a palindrome (2143883412).

The spelling of 2121352200 in words is "two billion, one hundred twenty-one million, three hundred fifty-two thousand, two hundred".