11202212120000 has 280 divisors, whose sum is σ = 30318633119280. Its totient is φ = 4071444480000.

The previous prime is 11202212119957. The next prime is 11202212120041. The reversal of 11202212120000 is 2121220211.

11202212120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1051154672 + ... + 1051165328.

Almost surely, 2^{11202212120000} is an apocalyptic number.

11202212120000 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 11202212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15159316559640).

11202212120000 is an abundant number, since it is smaller than the sum of its proper divisors (19116420999280).

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

11202212120000 is a wasteful number, since it uses less digits than its factorization.

11202212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13089 (or 13064 counting only the distinct ones).

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

Adding to 11202212120000 its reverse (2121220211), we get a palindrome (11204333340211).

The spelling of 11202212120000 in words is "eleven trillion, two hundred two billion, two hundred twelve million, one hundred twenty thousand".