11124302400224 has 48 divisors (see below), whose sum is σ = 23586014219040. Its totient is φ = 5134216389120.

The previous prime is 11124302400187. The next prime is 11124302400353. The reversal of 11124302400224 is 42200420342111.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 11124302400193 and 11124302400202.

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 7 ways as a sum of consecutive naturals, for example, 34960757 + ... + 35277515.

It is an arithmetic number, because the mean of its divisors is an integer number (491375296230).

Almost surely, 2^{11124302400224} is an apocalyptic number.

It is an amenable number.

11124302400224 is an abundant number, since it is smaller than the sum of its proper divisors (12461711818816).

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

11124302400224 is a wasteful number, since it uses less digits than its factorization.

11124302400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401203 (or 401195 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 11124302400224 its reverse (42200420342111), we get a palindrome (53324722742335).

The spelling of 11124302400224 in words is "eleven trillion, one hundred twenty-four billion, three hundred two million, four hundred thousand, two hundred twenty-four".