11123322414400 has 336 divisors, whose sum is σ = 33129231379200. Its totient is φ = 3588416962560.

The previous prime is 11123322414313. The next prime is 11123322414467. The reversal of 11123322414400 is 441422332111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193612941 + ... + 1193622259.

Almost surely, 2^{11123322414400} is an apocalyptic number.

11123322414400 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 11123322414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564615689600).

11123322414400 is an abundant number, since it is smaller than the sum of its proper divisors (22005908964800).

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

11123322414400 is a wasteful number, since it uses less digits than its factorization.

11123322414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634 (or 15619 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 11123322414400 its reverse (441422332111), we get a palindrome (11564744746511).

The spelling of 11123322414400 in words is "eleven trillion, one hundred twenty-three billion, three hundred twenty-two million, four hundred fourteen thousand, four hundred".