11305212411200 has 336 divisors, whose sum is σ = 29659291862400. Its totient is φ = 4232179015680.

The previous prime is 11305212411187. The next prime is 11305212411281. The reversal of 11305212411200 is 211421250311.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367359014 + ... + 367389786.

Almost surely, 2^{11305212411200} is an apocalyptic number.

11305212411200 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 11305212411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829645931200).

11305212411200 is an abundant number, since it is smaller than the sum of its proper divisors (18354079451200).

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

11305212411200 is a wasteful number, since it uses less digits than its factorization.

11305212411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31034 (or 31019 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 11305212411200 its reverse (211421250311), we get a palindrome (11516633661511).

The spelling of 11305212411200 in words is "eleven trillion, three hundred five billion, two hundred twelve million, four hundred eleven thousand, two hundred".