11221121210000 has 200 divisors, whose sum is σ = 29546971336344. Its totient is φ = 4102156800000.

The previous prime is 11221121209999. The next prime is 11221121210009. The reversal of 11221121210000 is 1212112211.

It can be written as a sum of positive squares in 20 ways, for example, as 7974320845456 + 3246800364544 = 2823884^2 + 1801888^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×11221121210000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11221121210009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12702692 + ... + 13557308.

Almost surely, 2^{11221121210000} is an apocalyptic number.

11221121210000 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 11221121210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773485668172).

11221121210000 is an abundant number, since it is smaller than the sum of its proper divisors (18325850126344).

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

11221121210000 is a wasteful number, since it uses less digits than its factorization.

11221121210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854759 (or 854738 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11221121210000 its reverse (1212112211), we get a palindrome (11222333322211).

The spelling of 11221121210000 in words is "eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred ten thousand".