2122133200 has 120 divisors (see below), whose sum is σ = 5641085376. Its totient is φ = 760704000.

The previous prime is 2122133173. The next prime is 2122133201. The reversal of 2122133200 is 23312212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122133201) 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 23 ways as a sum of consecutive naturals, for example, 309004 + ... + 315796.

Almost surely, 2^2122133200 is an apocalyptic number.

2122133200 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 2122133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820542688).

2122133200 is an abundant number, since it is smaller than the sum of its proper divisors (3518952176).

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

2122133200 is a wasteful number, since it uses less digits than its factorization.

2122133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2122133200 is about 46066.6169801951. The cubic root of 2122133200 is about 1285.0623900426.

Adding to 2122133200 its reverse (23312212), we get a palindrome (2145445412).

The spelling of 2122133200 in words is "two billion, one hundred twenty-two million, one hundred thirty-three thousand, two hundred".