111312998596800 has 2016 divisors, whose sum is σ = 531586325297664. Its totient is φ = 21335187456000.

The previous prime is 111312998596799. The next prime is 111312998596829. The reversal of 111312998596800 is 8695899213111.

111312998596800 is a `hidden beast` number, since 1 + 1 + 1 + 31 + 2 + 9 + 9 + 8 + 596 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×111312998596800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34176540772 + ... + 34176544028.

It is an arithmetic number, because the mean of its divisors is an integer number (263683693104).

Almost surely, 2^{111312998596800} is an apocalyptic number.

111312998596800 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 111312998596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265793162648832).

111312998596800 is an abundant number, since it is smaller than the sum of its proper divisors (420273326700864).

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

111312998596800 is a wasteful number, since it uses less digits than its factorization.

111312998596800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 63.

The spelling of 111312998596800 in words is "one hundred eleven trillion, three hundred twelve billion, nine hundred ninety-eight million, five hundred ninety-six thousand, eight hundred".