11120241400 has 192 divisors, whose sum is σ = 27729475200. Its totient is φ = 4139520000.

The previous prime is 11120241389. The next prime is 11120241401. The reversal of 11120241400 is 414202111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120241401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24017569 + ... + 24018031.

It is an arithmetic number, because the mean of its divisors is an integer number (144424350).

Almost surely, 2^11120241400 is an apocalyptic number.

11120241400 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 11120241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13864737600).

11120241400 is an abundant number, since it is smaller than the sum of its proper divisors (16609233800).

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

11120241400 is a wasteful number, since it uses less digits than its factorization.

11120241400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11120241400 its reverse (414202111), we get a palindrome (11534443511).

The spelling of 11120241400 in words is "eleven billion, one hundred twenty million, two hundred forty-one thousand, four hundred".