11241111000000 has 784 divisors, whose sum is σ = 42908940758528. Its totient is φ = 2543961600000.

The previous prime is 11241110999999. The next prime is 11241111000037. The reversal of 11241111000000 is 11114211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 11241111000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2162997402 + ... + 2163002598.

Almost surely, 2^{11241111000000} is an apocalyptic number.

11241111000000 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 11241111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21454470379264).

11241111000000 is an abundant number, since it is smaller than the sum of its proper divisors (31667829758528).

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

11241111000000 is an frugal number, since it uses more digits than its factorization.

11241111000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11241111000000 its reverse (11114211), we get a palindrome (11241122114211).

The spelling of 11241111000000 in words is "eleven trillion, two hundred forty-one billion, one hundred eleven million", and thus it is an aban number.