2111222211200 has 96 divisors (see below), whose sum is σ = 5261533312860. Its totient is φ = 837015388160.

The previous prime is 2111222211191. The next prime is 2111222211209. The reversal of 2111222211200 is 21122221112.

It is an interprime number because it is at equal distance from previous prime (2111222211191) and next prime (2111222211209).

It can be written as a sum of positive squares in 6 ways, for example, as 8931006016 + 2102291205184 = 94504^2 + 1449928^2 .

It is not an unprimeable number, because it can be changed into a prime (2111222211209) 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 11 ways as a sum of consecutive naturals, for example, 2557679 + ... + 3280878.

Almost surely, 2^{2111222211200} is an apocalyptic number.

2111222211200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111222211200 is an abundant number, since it is smaller than the sum of its proper divisors (3150311101660).

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

2111222211200 is a wasteful number, since it uses less digits than its factorization.

2111222211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838694 (or 5838677 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 2111222211200 its reverse (21122221112), we get a palindrome (2132344432312).

The spelling of 2111222211200 in words is "two trillion, one hundred eleven billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".