2211222121200 has 240 divisors, whose sum is σ = 7872063020800. Its totient is φ = 589528108800.

The previous prime is 2211222121193. The next prime is 2211222121289. The reversal of 2211222121200 is 21212221122.

It is a happy number.

2211222121200 is a `hidden beast` number, since 221 + 1 + 2 + 221 + 21 + 200 = 666.

2211222121200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2211222121200³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54616965 + ... + 54657435.

Almost surely, 2^{2211222121200} is an apocalyptic number.

2211222121200 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 2211222121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936031510400).

2211222121200 is an abundant number, since it is smaller than the sum of its proper divisors (5660840899600).

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

2211222121200 is a wasteful number, since it uses less digits than its factorization.

2211222121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45557 (or 45540 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2211222121200 its reverse (21212221122), we get a palindrome (2232434342322).

The spelling of 2211222121200 in words is "two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred".