11022211200000 has 4224 divisors, whose sum is σ = 52268846579712. Its totient is φ = 1990656000000.

The previous prime is 11022211199977. The next prime is 11022211200001. The reversal of 11022211200000 is 211222011.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022211200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 297897599982 + ... + 297897600018.

Almost surely, 2^{11022211200000} is an apocalyptic number.

11022211200000 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 11022211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26134423289856).

11022211200000 is an abundant number, since it is smaller than the sum of its proper divisors (41246635379712).

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

11022211200000 is a wasteful number, since it uses less digits than its factorization.

11022211200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11022211200000 its reverse (211222011), we get a palindrome (11022422422011).

It can be divided in two parts, 11022211 and 200000, that added together give a palindrome (11222211).

The spelling of 11022211200000 in words is "eleven trillion, twenty-two billion, two hundred eleven million, two hundred thousand".