11220010221200 has 180 divisors, whose sum is σ = 29634397534980. Its totient is φ = 4079316172800.

The previous prime is 11220010221151. The next prime is 11220010221227. The reversal of 11220010221200 is 212201002211.

It can be written as a sum of positive squares in 6 ways, for example, as 1297485021184 + 9922525200016 = 1139072^2 + 3150004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 353158916 + ... + 353190684.

It is an arithmetic number, because the mean of its divisors is an integer number (164635541861).

Almost surely, 2^{11220010221200} is an apocalyptic number.

11220010221200 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 11220010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817198767490).

11220010221200 is an abundant number, since it is smaller than the sum of its proper divisors (18414387313780).

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

11220010221200 is a wasteful number, since it uses less digits than its factorization.

11220010221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39106 (or 39084 counting only the distinct ones).

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

Adding to 11220010221200 its reverse (212201002211), we get a palindrome (11432211223411).

The spelling of 11220010221200 in words is "eleven trillion, two hundred twenty billion, ten million, two hundred twenty-one thousand, two hundred".