111331444224000 has 6656 divisors, whose sum is σ = 542959849635840. Its totient is φ = 19492503552000.

The previous prime is 111331444223977. The next prime is 111331444224053. The reversal of 111331444224000 is 422444133111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (6656).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1080887807949 + ... + 1080887808051.

It is an arithmetic number, because the mean of its divisors is an integer number (81574496640).

Almost surely, 2^{111331444224000} is an apocalyptic number.

111331444224000 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 111331444224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271479924817920).

111331444224000 is an abundant number, since it is smaller than the sum of its proper divisors (431628405411840).

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

111331444224000 is a wasteful number, since it uses less digits than its factorization.

111331444224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 111331444224000 its reverse (422444133111), we get a palindrome (111753888357111).

The spelling of 111331444224000 in words is "one hundred eleven trillion, three hundred thirty-one billion, four hundred forty-four million, two hundred twenty-four thousand".