111120442400000 has 1728 divisors, whose sum is σ = 326784024483840. Its totient is φ = 37324800000000.

The previous prime is 111120442399951. The next prime is 111120442400059. The reversal of 111120442400000 is 4244021111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1019453599946 + ... + 1019453600054.

It is an arithmetic number, because the mean of its divisors is an integer number (189111125280).

Almost surely, 2^{111120442400000} is an apocalyptic number.

111120442400000 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 111120442400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163392012241920).

111120442400000 is an abundant number, since it is smaller than the sum of its proper divisors (215663582083840).

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

111120442400000 is a wasteful number, since it uses less digits than its factorization.

111120442400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 111120442400000 its reverse (4244021111), we get a palindrome (111124686421111).

The spelling of 111120442400000 in words is "one hundred eleven trillion, one hundred twenty billion, four hundred forty-two million, four hundred thousand".