11124153040000 has 1280 divisors, whose sum is σ = 37898055740160. Its totient is φ = 3138969600000.

The previous prime is 11124153039997. The next prime is 11124153040093. The reversal of 11124153040000 is 4035142111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4244238690 + ... + 4244241310.

It is an arithmetic number, because the mean of its divisors is an integer number (29607856047).

Almost surely, 2^{11124153040000} is an apocalyptic number.

11124153040000 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 11124153040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18949027870080).

11124153040000 is an abundant number, since it is smaller than the sum of its proper divisors (26773902700160).

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

11124153040000 is a wasteful number, since it uses less digits than its factorization.

11124153040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 11124153040000 its reverse (4035142111), we get a palindrome (11128188182111).

The spelling of 11124153040000 in words is "eleven trillion, one hundred twenty-four billion, one hundred fifty-three million, forty thousand".