110042144124000 has 576 divisors, whose sum is σ = 415058640901632. Its totient is φ = 25272825984000.

The previous prime is 110042144123921. The next prime is 110042144124037. The reversal of 110042144124000 is 421441240011.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46497357 + ... + 48806643.

It is an arithmetic number, because the mean of its divisors is an integer number (720587918232).

Almost surely, 2^{110042144124000} is an apocalyptic number.

110042144124000 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 110042144124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207529320450816).

110042144124000 is an abundant number, since it is smaller than the sum of its proper divisors (305016496777632).

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

110042144124000 is a wasteful number, since it uses less digits than its factorization.

110042144124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2309364 (or 2309327 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 110042144124000 its reverse (421441240011), we get a palindrome (110463585364011).

It can be divided in two parts, 1 and 10042144124000, that added together give a palindrome (10042144124001).

The spelling of 110042144124000 in words is "one hundred ten trillion, forty-two billion, one hundred forty-four million, one hundred twenty-four thousand".