2211122201200 has 180 divisors, whose sum is σ = 5842409940304. Its totient is φ = 803582208000.

The previous prime is 2211122201179. The next prime is 2211122201213. The reversal of 2211122201200 is 21022211122.

It is a happy number.

It is a super-2 number, since 2×2211122201200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent 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, 90641005 + ... + 90665395.

Almost surely, 2^{2211122201200} is an apocalyptic number.

2211122201200 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 2211122201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921204970152).

2211122201200 is an abundant number, since it is smaller than the sum of its proper divisors (3631287739104).

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

2211122201200 is a wasteful number, since it uses less digits than its factorization.

2211122201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26304 (or 26282 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2211122201200 its reverse (21022211122), we get a palindrome (2232144412322).

The spelling of 2211122201200 in words is "two trillion, two hundred eleven billion, one hundred twenty-two million, two hundred one thousand, two hundred".