11124101472 has 96 divisors (see below), whose sum is σ = 31889894400. Its totient is φ = 3367288320.

The previous prime is 11124101441. The next prime is 11124101489. The reversal of 11124101472 is 27410142111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1064529 + ... + 1074927.

It is an arithmetic number, because the mean of its divisors is an integer number (332186400).

Almost surely, 2^11124101472 is an apocalyptic number.

11124101472 is a gapful number since it is divisible by the number (12) 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 11124101472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944947200).

11124101472 is an abundant number, since it is smaller than the sum of its proper divisors (20765792928).

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

11124101472 is a wasteful number, since it uses less digits than its factorization.

11124101472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11436 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

Adding to 11124101472 its reverse (27410142111), we get a palindrome (38534243583).

The spelling of 11124101472 in words is "eleven billion, one hundred twenty-four million, one hundred one thousand, four hundred seventy-two".