11215322400000 has 216 divisors, whose sum is σ = 37309011632928. Its totient is φ = 2990752000000.

The previous prime is 11215322399999. The next prime is 11215322400013. The reversal of 11215322400000 is 422351211.

It is a self number, because there is not a number n which added to its sum of digits gives 11215322400000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63475 + ... + 4736525.

It is an arithmetic number, because the mean of its divisors is an integer number (172726905708).

Almost surely, 2^{11215322400000} is an apocalyptic number.

11215322400000 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 11215322400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654505816464).

11215322400000 is an abundant number, since it is smaller than the sum of its proper divisors (26093689232928).

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

11215322400000 is an frugal number, since it uses more digits than its factorization.

11215322400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4673095 (or 4673061 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11215322400000 its reverse (422351211), we get a palindrome (11215744751211).

The spelling of 11215322400000 in words is "eleven trillion, two hundred fifteen billion, three hundred twenty-two million, four hundred thousand".