2112211200 has 432 divisors, whose sum is σ = 7764878016. Its totient is φ = 501350400.

The previous prime is 2112211159. The next prime is 2112211207. The reversal of 2112211200 is 21122112.

It is a super-2 number, since 2×2112211200² = 8922872306810880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2112211207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15417532 + ... + 15417668.

Almost surely, 2^2112211200 is an apocalyptic number.

2112211200 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 2112211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882439008).

2112211200 is an abundant number, since it is smaller than the sum of its proper divisors (5652666816).

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

2112211200 is a wasteful number, since it uses less digits than its factorization.

2112211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112211200 is about 45958.7989399201. The cubic root of 2112211200 is about 1283.0564976972.

Adding to 2112211200 its reverse (21122112), we get a palindrome (2133333312).

2112211200 divided by its reverse (21122112) gives a square (100 = 10²).

It can be divided in two parts, 2112 and 211200, that multiplied together give a square (446054400 = 21120²).

The spelling of 2112211200 in words is "two billion, one hundred twelve million, two hundred eleven thousand, two hundred".