11221203633408 has 108 divisors (see below), whose sum is σ = 32370837958368. Its totient is φ = 3738396349440.

The previous prime is 11221203633403. The next prime is 11221203633433. The reversal of 11221203633408 is 80433630212211.

11221203633408 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 12 + 0 + 3 + 633 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221203633401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2997253 + ... + 5605883.

It is an arithmetic number, because the mean of its divisors is an integer number (299729981096).

Almost surely, 2^{11221203633408} is an apocalyptic number.

11221203633408 is a gapful number since it is divisible by the number (18) 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 11221203633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185418979184).

11221203633408 is an abundant number, since it is smaller than the sum of its proper divisors (21149634324960).

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

11221203633408 is a wasteful number, since it uses less digits than its factorization.

11221203633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2610520 (or 2610503 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 11221203633408 its reverse (80433630212211), we get a palindrome (91654833845619).

The spelling of 11221203633408 in words is "eleven trillion, two hundred twenty-one billion, two hundred three million, six hundred thirty-three thousand, four hundred eight".