111441240013200 has 240 divisors, whose sum is σ = 379318111390656. Its totient is φ = 27870732288000.

The previous prime is 111441240013163. The next prime is 111441240013219. The reversal of 111441240013200 is 2310042144111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 3878401 + ... + 15424800.

Almost surely, 2^{111441240013200} is an apocalyptic number.

111441240013200 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 111441240013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189659055695328).

111441240013200 is an abundant number, since it is smaller than the sum of its proper divisors (267876871377456).

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

111441240013200 is a wasteful number, since it uses less digits than its factorization.

111441240013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19303522 (or 19303511 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 111441240013200 its reverse (2310042144111), we get a palindrome (113751282157311).

The spelling of 111441240013200 in words is "one hundred eleven trillion, four hundred forty-one billion, two hundred forty million, thirteen thousand, two hundred".