11042243224000 has 224 divisors, whose sum is σ = 28799561643840. Its totient is φ = 4182368256000.

The previous prime is 11042243223997. The next prime is 11042243224027. The reversal of 11042243224000 is 42234224011.

It is a super-2 number, since 2×11042243224000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 31 ways as a sum of consecutive naturals, for example, 328455192 + ... + 328488808.

Almost surely, 2^{11042243224000} is an apocalyptic number.

11042243224000 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 11042243224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14399780821920).

11042243224000 is an abundant number, since it is smaller than the sum of its proper divisors (17757318419840).

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

11042243224000 is a wasteful number, since it uses less digits than its factorization.

11042243224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35824 (or 35804 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 11042243224000 its reverse (42234224011), we get a palindrome (11084477448011).

The spelling of 11042243224000 in words is "eleven trillion, forty-two billion, two hundred forty-three million, two hundred twenty-four thousand".