111142114423120 has 320 divisors, whose sum is σ = 292821874771968. Its totient is φ = 38865862656000.

The previous prime is 111142114423111. The next prime is 111142114423121. The reversal of 111142114423120 is 21324411241111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111142114423121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4954391424 + ... + 4954413856.

Almost surely, 2^{111142114423120} is an apocalyptic number.

111142114423120 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 111142114423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146410937385984).

111142114423120 is an abundant number, since it is smaller than the sum of its proper divisors (181679760348848).

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

111142114423120 is a wasteful number, since it uses less digits than its factorization.

111142114423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23622 (or 23616 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

Adding to 111142114423120 its reverse (21324411241111), we get a palindrome (132466525664231).

The spelling of 111142114423120 in words is "one hundred eleven trillion, one hundred forty-two billion, one hundred fourteen million, four hundred twenty-three thousand, one hundred twenty".