1122304211200 has 108 divisors (see below), whose sum is σ = 2785025536020. Its totient is φ = 447766650880.

The previous prime is 1122304211137. The next prime is 1122304211221. The reversal of 1122304211200 is 21124032211.

It can be written as a sum of positive squares in 6 ways, for example, as 55198683136 + 1067105528064 = 234944^2 + 1033008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2264202 + ... + 2714998.

Almost surely, 2^{1122304211200} is an apocalyptic number.

1122304211200 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 1122304211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392512768010).

1122304211200 is an abundant number, since it is smaller than the sum of its proper divisors (1662721324820).

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

1122304211200 is an equidigital number, since it uses as much as digits as its factorization.

1122304211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451212 (or 451193 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1122304211200 its reverse (21124032211), we get a palindrome (1143428243411).

The spelling of 1122304211200 in words is "one trillion, one hundred twenty-two billion, three hundred four million, two hundred eleven thousand, two hundred".