2121432200 has 96 divisors (see below), whose sum is σ = 5002749000. Its totient is φ = 836567040.

The previous prime is 2121432169. The next prime is 2121432233. The reversal of 2121432200 is 22341212.

It can be written as a sum of positive squares in 12 ways, for example, as 71334916 + 2050097284 = 8446^2 + 45278^2 .

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, 7658462 + ... + 7658738.

Almost surely, 2^2121432200 is an apocalyptic number.

2121432200 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 2121432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501374500).

2121432200 is an abundant number, since it is smaller than the sum of its proper divisors (2881316800).

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

2121432200 is a wasteful number, since it uses less digits than its factorization.

2121432200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2121432200 is about 46059.0078052057. The cubic root of 2121432200 is about 1284.9208770996.

Adding to 2121432200 its reverse (22341212), we get a palindrome (2143773412).

The spelling of 2121432200 in words is "two billion, one hundred twenty-one million, four hundred thirty-two thousand, two hundred".