1228219200 has 462 divisors, whose sum is σ = 4881966614. Its totient is φ = 302330880.

The previous prime is 1228219169. The next prime is 1228219207. The reversal of 1228219200 is 29128221.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 1224440064 = 1944^2 + 34992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1228219207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 94478394 + ... + 94478406.

Almost surely, 2^1228219200 is an apocalyptic number.

1228219200 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 1228219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440983307).

1228219200 is an abundant number, since it is smaller than the sum of its proper divisors (3653747414).

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

1228219200 is an frugal number, since it uses more digits than its factorization.

1228219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1228219200 is about 35045.9583975100. The cubic root of 1228219200 is about 1070.9239406476.

The spelling of 1228219200 in words is "one billion, two hundred twenty-eight million, two hundred nineteen thousand, two hundred".