111098426112000 has 1152 divisors, whose sum is σ = 425239783113600. Its totient is φ = 27802337280000.

The previous prime is 111098426111923. The next prime is 111098426112043. The reversal of 111098426112000 is 211624890111.

111098426112000 is a `hidden beast` number, since 1 + 1 + 10 + 9 + 8 + 4 + 2 + 611 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 14061308050 + ... + 14061315950.

It is an arithmetic number, because the mean of its divisors is an integer number (369131756175).

Almost surely, 2^{111098426112000} is an apocalyptic number.

111098426112000 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 111098426112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212619891556800).

111098426112000 is an abundant number, since it is smaller than the sum of its proper divisors (314141357001600).

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

111098426112000 is a wasteful number, since it uses less digits than its factorization.

111098426112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8287 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 111098426112000 in words is "one hundred eleven trillion, ninety-eight billion, four hundred twenty-six million, one hundred twelve thousand".