11242011144 has 192 divisors, whose sum is σ = 35003888640. Its totient is φ = 2945928960.

The previous prime is 11242011119. The next prime is 11242011173. The reversal of 11242011144 is 44111024211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11242011144.

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, 4740279 + ... + 4742649.

It is an arithmetic number, because the mean of its divisors is an integer number (182311920).

Almost surely, 2^11242011144 is an apocalyptic number.

11242011144 is a gapful number since it is divisible by the number (14) 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 11242011144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17501944320).

11242011144 is an abundant number, since it is smaller than the sum of its proper divisors (23761877496).

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

11242011144 is a wasteful number, since it uses less digits than its factorization.

11242011144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2563 counting only the distinct ones).

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

Adding to 11242011144 its reverse (44111024211), we get a palindrome (55353035355).

The spelling of 11242011144 in words is "eleven billion, two hundred forty-two million, eleven thousand, one hundred forty-four".