2122011200 has 252 divisors, whose sum is σ = 5760933360. Its totient is φ = 767047680.

The previous prime is 2122011167. The next prime is 2122011217. The reversal of 2122011200 is 21102212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25566359 + ... + 25566441.

Almost surely, 2^2122011200 is an apocalyptic number.

2122011200 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 2122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880466680).

2122011200 is an abundant number, since it is smaller than the sum of its proper divisors (3638922160).

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

2122011200 is a wasteful number, since it uses less digits than its factorization.

2122011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2122011200 is about 46065.2927918623. The cubic root of 2122011200 is about 1285.0377637819.

Adding to 2122011200 its reverse (21102212), we get a palindrome (2143113412).

The spelling of 2122011200 in words is "two billion, one hundred twenty-two million, eleven thousand, two hundred".