11226213504000 has 792 divisors, whose sum is σ = 44467045505064. Its totient is φ = 2721472512000.

The previous prime is 11226213503987. The next prime is 11226213504017. The reversal of 11226213504000 is 40531262211.

11226213504000 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 621 + 35 + 0 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 640717000704 + 10585496503296 = 800448^2 + 3253536^2 .

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 139351732 + ... + 139432268.

Almost surely, 2^{11226213504000} is an apocalyptic number.

11226213504000 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 11226213504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22233522752532).

11226213504000 is an abundant number, since it is smaller than the sum of its proper divisors (33240832001064).

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

11226213504000 is a wasteful number, since it uses less digits than its factorization.

11226213504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80600 (or 80558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11226213504000 its reverse (40531262211), we get a palindrome (11266744766211).

The spelling of 11226213504000 in words is "eleven trillion, two hundred twenty-six billion, two hundred thirteen million, five hundred four thousand".