2122212200 has 96 divisors (see below), whose sum is σ = 5042991960. Its totient is φ = 830361600.

The previous prime is 2122212179. The next prime is 2122212227. The reversal of 2122212200 is 22122212.

It can be written as a sum of positive squares in 12 ways, for example, as 336135556 + 1786076644 = 18334^2 + 42262^2 .

It is an unprimeable number.

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, 1999670 + ... + 2000730.

Almost surely, 2^2122212200 is an apocalyptic number.

2122212200 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 2122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521495980).

2122212200 is an abundant number, since it is smaller than the sum of its proper divisors (2920779760).

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

2122212200 is a wasteful number, since it uses less digits than its factorization.

2122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2122212200 is about 46067.4744261068. The cubic root of 2122212200 is about 1285.0783360522.

Adding to 2122212200 its reverse (22122212), we get a palindrome (2144334412).

It can be divided in two parts, 2122 and 212200, that multiplied together give a square (450288400 = 21220²).

The spelling of 2122212200 in words is "two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".