11131200024 has 128 divisors (see below), whose sum is σ = 33718809600. Its totient is φ = 2989301760.

The previous prime is 11131200023. The next prime is 11131200043. The reversal of 11131200024 is 42000213111.

It is a super-2 number, since 2×11131200024² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11131199976 and 11131200012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131200023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2622544 + ... + 2626784.

It is an arithmetic number, because the mean of its divisors is an integer number (263428200).

Almost surely, 2^11131200024 is an apocalyptic number.

11131200024 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 11131200024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859404800).

11131200024 is an abundant number, since it is smaller than the sum of its proper divisors (22587609576).

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

11131200024 is a wasteful number, since it uses less digits than its factorization.

11131200024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5189 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11131200024 its reverse (42000213111), we get a palindrome (53131413135).

The spelling of 11131200024 in words is "eleven billion, one hundred thirty-one million, two hundred thousand, twenty-four".