11220013213200 has 360 divisors, whose sum is σ = 42482239016256. Its totient is φ = 2719619712000.

The previous prime is 11220013213181. The next prime is 11220013213207. The reversal of 11220013213200 is 231231002211.

11220013213200 is a `hidden beast` number, since 1 + 1 + 2 + 20 + 0 + 1 + 321 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11220013213207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 365136237 + ... + 365166963.

Almost surely, 2^{11220013213200} is an apocalyptic number.

11220013213200 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 11220013213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21241119508128).

11220013213200 is an abundant number, since it is smaller than the sum of its proper divisors (31262225803056).

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

11220013213200 is a wasteful number, since it uses less digits than its factorization.

11220013213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39983 (or 39969 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11220013213200 its reverse (231231002211), we get a palindrome (11451244215411).

The spelling of 11220013213200 in words is "eleven trillion, two hundred twenty billion, thirteen million, two hundred thirteen thousand, two hundred".