1220000211200 has 216 divisors, whose sum is σ = 3128608271880. Its totient is φ = 470450176000.

The previous prime is 1220000211169. The next prime is 1220000211289. The reversal of 1220000211200 is 21120000221.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 326415683584 + 893584527616 = 571328^2 + 945296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130100912 + ... + 130110288.

It is an arithmetic number, because the mean of its divisors is an integer number (14484297555).

Almost surely, 2^{1220000211200} is an apocalyptic number.

1220000211200 is a gapful number since it is divisible by the number (10) 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 1220000211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564304135940).

1220000211200 is an abundant number, since it is smaller than the sum of its proper divisors (1908608060680).

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

1220000211200 is an equidigital number, since it uses as much as digits as its factorization.

1220000211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10133 (or 10114 counting only the distinct ones).

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

Adding to 1220000211200 its reverse (21120000221), we get a palindrome (1241120211421).

The spelling of 1220000211200 in words is "one trillion, two hundred twenty billion, two hundred eleven thousand, two hundred".