11144421120 has 288 divisors, whose sum is σ = 42820001280. Its totient is φ = 2413117440.

The previous prime is 11144421097. The next prime is 11144421149. The reversal of 11144421120 is 2112444111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 499810 + ... + 521630.

It is an arithmetic number, because the mean of its divisors is an integer number (148680560).

Almost surely, 2^11144421120 is an apocalyptic number.

11144421120 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 11144421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21410000640).

11144421120 is an abundant number, since it is smaller than the sum of its proper divisors (31675580160).

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

11144421120 is a wasteful number, since it uses less digits than its factorization.

11144421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21871 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11144421120 its reverse (2112444111), we get a palindrome (13256865231).

The spelling of 11144421120 in words is "eleven billion, one hundred forty-four million, four hundred twenty-one thousand, one hundred twenty".