11213124424320 has 1024 divisors, whose sum is σ = 44704330997760. Its totient is φ = 2327572316160.

The previous prime is 11213124424279. The next prime is 11213124424331. The reversal of 11213124424320 is 2342442131211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10259033694 + ... + 10259034786.

It is an arithmetic number, because the mean of its divisors is an integer number (43656573240).

Almost surely, 2^{11213124424320} is an apocalyptic number.

11213124424320 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 11213124424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22352165498880).

11213124424320 is an abundant number, since it is smaller than the sum of its proper divisors (33491206573440).

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

11213124424320 is a wasteful number, since it uses less digits than its factorization.

11213124424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2033 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11213124424320 its reverse (2342442131211), we get a palindrome (13555566555531).

The spelling of 11213124424320 in words is "eleven trillion, two hundred thirteen billion, one hundred twenty-four million, four hundred twenty-four thousand, three hundred twenty".