11212221002000 has 40 divisors (see below), whose sum is σ = 27111150387672. Its totient is φ = 4484888400000.

The previous prime is 11212221001991. The next prime is 11212221002009. The reversal of 11212221002000 is 20012221211.

It is an interprime number because it is at equal distance from previous prime (11212221001991) and next prime (11212221002009).

It can be written as a sum of positive squares in 4 ways, for example, as 10802692096 + 11201418309904 = 103936^2 + 3346852^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (11212221002009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2803053251 + ... + 2803057250.

Almost surely, 2^{11212221002000} is an apocalyptic number.

11212221002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11212221002000 is an abundant number, since it is smaller than the sum of its proper divisors (15898929385672).

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

11212221002000 is an equidigital number, since it uses as much as digits as its factorization.

11212221002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5606110524 (or 5606110508 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11212221002000 its reverse (20012221211), we get a palindrome (11232233223211).

The spelling of 11212221002000 in words is "eleven trillion, two hundred twelve billion, two hundred twenty-one million, two thousand".