11202212200000 has 168 divisors, whose sum is σ = 27794082018024. Its totient is φ = 4479413760000.

The previous prime is 11202212199973. The next prime is 11202212200033. The reversal of 11202212200000 is 221220211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10545554801664 + 656657398336 = 3247392^2 + 810344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 770592732 + ... + 770607268.

It is an arithmetic number, because the mean of its divisors is an integer number (165440964393).

Almost surely, 2^{11202212200000} is an apocalyptic number.

11202212200000 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 11202212200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13897041009012).

11202212200000 is an abundant number, since it is smaller than the sum of its proper divisors (16591869818024).

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

11202212200000 is an frugal number, since it uses more digits than its factorization.

11202212200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18427 (or 18397 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11202212200000 its reverse (221220211), we get a palindrome (11202433420211).

The spelling of 11202212200000 in words is "eleven trillion, two hundred two billion, two hundred twelve million, two hundred thousand".