11130024400000 has 192 divisors, whose sum is σ = 30234116142720. Its totient is φ = 4047280000000.

The previous prime is 11130024399997. The next prime is 11130024400003. The reversal of 11130024400000 is 442003111.

It is an interprime number because it is at equal distance from previous prime (11130024399997) and next prime (11130024400003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11130024400003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3135225 + ... + 5664775.

It is an arithmetic number, because the mean of its divisors is an integer number (157469354910).

Almost surely, 2^{11130024400000} is an apocalyptic number.

11130024400000 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 11130024400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15117058071360).

11130024400000 is an abundant number, since it is smaller than the sum of its proper divisors (19104091742720).

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

11130024400000 is an frugal number, since it uses more digits than its factorization.

11130024400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529601 (or 2529569 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11130024400000 its reverse (442003111), we get a palindrome (11130466403111).

The spelling of 11130024400000 in words is "eleven trillion, one hundred thirty billion, twenty-four million, four hundred thousand".