11012220202200 has 288 divisors, whose sum is σ = 39716804010960. Its totient is φ = 2516737305600.

The previous prime is 11012220202163. The next prime is 11012220202241. The reversal of 11012220202200 is 220202221011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11012220202200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262844454 + ... + 262886346.

Almost surely, 2^{11012220202200} is an apocalyptic number.

11012220202200 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 11012220202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19858402005480).

11012220202200 is an abundant number, since it is smaller than the sum of its proper divisors (28704583808760).

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

11012220202200 is a wasteful number, since it uses less digits than its factorization.

11012220202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50867 (or 50851 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11012220202200 its reverse (220202221011), we get a palindrome (11232422423211).

The spelling of 11012220202200 in words is "eleven trillion, twelve billion, two hundred twenty million, two hundred two thousand, two hundred".