11221830010000 has 225 divisors, whose sum is σ = 27480063715533. Its totient is φ = 4437947520000.

The previous prime is 11221830009997. The next prime is 11221830010009. The reversal of 11221830010000 is 1003812211.

The square root of 11221830010000 is 3349900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 5830814725264 + 5391015284736 = 2414708^2 + 2321856^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11221830010000.

It is not an unprimeable number, because it can be changed into a prime (11221830010009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 46563609880 + ... + 46563610120.

Almost surely, 2^{11221830010000} is an apocalyptic number.

11221830010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11221830010000 is the 3349900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221830010000

11221830010000 is an abundant number, since it is smaller than the sum of its proper divisors (16258233705533).

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

11221830010000 is an frugal number, since it uses more digits than its factorization.

11221830010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 11221830010000 its reverse (1003812211), we get a palindrome (11222833822211).

The spelling of 11221830010000 in words is "eleven trillion, two hundred twenty-one billion, eight hundred thirty million, ten thousand".