11241110123200 has 168 divisors, whose sum is σ = 28918008557568. Its totient is φ = 4292715525120.

The previous prime is 11241110123149. The next prime is 11241110123239. The reversal of 11241110123200 is 232101114211.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18954369 + ... + 19538431.

Almost surely, 2^{11241110123200} is an apocalyptic number.

11241110123200 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 11241110123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14459004278784).

11241110123200 is an abundant number, since it is smaller than the sum of its proper divisors (17676898434368).

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

11241110123200 is a wasteful number, since it uses less digits than its factorization.

11241110123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584631 (or 584616 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 11241110123200 its reverse (232101114211), we get a palindrome (11473211237411).

The spelling of 11241110123200 in words is "eleven trillion, two hundred forty-one billion, one hundred ten million, one hundred twenty-three thousand, two hundred".