111243361240800 has 1152 divisors, whose sum is σ = 421383629721600. Its totient is φ = 28301543424000.

The previous prime is 111243361240793. The next prime is 111243361240801. The reversal of 111243361240800 is 8042163342111.

111243361240800 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 4 + 33 + 612 + 4 + 0 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×111243361240800³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111243361240801) 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 191 ways as a sum of consecutive naturals, for example, 6415040130 + ... + 6415057470.

It is an arithmetic number, because the mean of its divisors is an integer number (365784400800).

Almost surely, 2^{111243361240800} is an apocalyptic number.

111243361240800 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 111243361240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210691814860800).

111243361240800 is an abundant number, since it is smaller than the sum of its proper divisors (310140268480800).

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

111243361240800 is a wasteful number, since it uses less digits than its factorization.

111243361240800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17577 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 111243361240800 in words is "one hundred eleven trillion, two hundred forty-three billion, three hundred sixty-one million, two hundred forty thousand, eight hundred".