11241120412104 has 256 divisors, whose sum is σ = 31960869857280. Its totient is φ = 3264607825920.

The previous prime is 11241120412079. The next prime is 11241120412117. The reversal of 11241120412104 is 40121402114211.

11241120412104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273200157 + ... + 273241299.

It is an arithmetic number, because the mean of its divisors is an integer number (124847147880).

Almost surely, 2^{11241120412104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11241120412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980434928640).

11241120412104 is an abundant number, since it is smaller than the sum of its proper divisors (20719749445176).

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

11241120412104 is a wasteful number, since it uses less digits than its factorization.

11241120412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41620 (or 41616 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 11241120412104 its reverse (40121402114211), we get a palindrome (51362522526315).

The spelling of 11241120412104 in words is "eleven trillion, two hundred forty-one billion, one hundred twenty million, four hundred twelve thousand, one hundred four".